AMC 12 2020b Problem 3

The ratio of $w$ to $x$ is $4 : 3$, the ratio of $y$ to $z$ is $3 : 2$, and the ratio of $z$ to $x$ is $1 : 6$. What is the ratio of $w$ to $y$?

$\textbf{(A) }4:3 \textbf{(B) }3:2 \textbf{(C) } 8:3 \textbf{(D) } 4:1 \textbf{(E) } 16:3$