AMC 10 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 $y?$ $\textbf{(A)}\ 4:3 \textbf{(B)}\ 3:2 \textbf{(C)}\ 8:3 \textbf{(D)}\ 4:1 \textbf{(E)}\ 16:3$