Let $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfy $f(x+y)=2 x f(y)+4 y f(x), \forall x, y \in \mathbb{R}$. If $f(2)=3$, then 14 . $\frac{f^{\prime}(4)}{f^{\prime}(2)}$ is equal to $\_\_\_\_$ .
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