Question
If $4, x, 9$ are in continued proportion, find the value $x.$

Answer

$\Rightarrow\frac{4}{\text{x}}=\frac{\text{x}}{9}$
By cross multiplication we get,
$\Rightarrow4{9}=\text{x}^2$
$\Rightarrow\text{x}^2=36$
$\Rightarrow\text{x}=6$

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