MathNet 2017-part-07 — 172 problems (EN–VI) Question 16

Let $A$, $B$, $C$, $D$ be four points on a circle in that order. Also, $AB = 3$, $BC = 5$, $CD = 6$, and $DA = 4$. Let diagonals $AC$ and $BD$ intersect at $P$. Compute $\frac{AP}{CP}$.