It has been shewn that a marc of fine gold in riders, circulates for f. 374, and that a marc of fine silver in florins, circulates for f. 25.572; divide the first by the last, you have the proportion as 1 to 14.62: But we shall afterward discover a circumstance, not taken notice of in this place, which will reduce the proportion lower.

Quantity of fine silver in a florin piece.

From the above calculations, we may easily discover the exact quantity of fine silver and fine gold contained in a Dutch florin, whether realized in silver florin pieces, in gold riders, or in ducats. As this will be of use when we come to examine the par of exchange, it will not be amiss to set before the reader, the exact state of that particular before we proceed. We have said that whoever receives f. 25.572[25.572] in silver florins of full weight, receives a marc of fine silver, which contains 5120 aces. Divide the last sum by the first, you have 200.21 aces of fine silver for the florin.

Quantity of fine gold in a florin of riders.

Whoever receives f. 374 in gold riders, receives a marc of fine gold, which contains 5120 aces. Divide the last sum by the first, you have 13.69 aces of fine gold for the florin.

Investigation of this proportion as to the ducat;

We have seen that ducats fluctuate in their value, having no legal denomination, which obliged us to state the current value of a marc of them at 71.687 ducats, not being able to express that value in florins; because of the unsettled denomination of that species. Let us now specify that value in florins, upon three suppositions. The first, that the ducat is worth what it passes for among the people, to wit, 5f. 5st. The second, at the value of new ducats from the mint, to wit, 5f. 4⅜st. The last, at the merchant price of good ducats, which have circulated, to wit, 5f. 4⅜st.

In the first case (the ducat at 5f. 5st.) 71.687 ducats are worth 376.35 florins, this being the value of a marc of fine gold in ducats, and the marc containing 5120 aces; divide the last by the first, you have 13.604 aces of fine gold for the florin.

In the second case (the ducat at 5f. 4⅝st.) 71.687 ducats are worth 375.04 florins; by which number divide 5120 as before, you have 13.651 aces of fine gold for the florin.

In the last case (the ducat at 5f. 4⅜st.) 71.687 ducats are worth 374.11; by which number dividing 5120, you have 13.685 aces of fine gold for the florin, which comes within a trifle of the florin in riders.