Answer:
x = 6
Step-by-step explanation:
given that 4, x , 9 are in continued proportion , then
4 : x = x : 9 ( express in fractional form )
[tex]\frac{4}{x}[/tex] = [tex]\frac{x}{9}[/tex] ( cross multiply )
x² = 4 × 9 = 36 ( take square root of both sides )
x = ± [tex]\sqrt{36}[/tex] = ± 6
The positive value of x is x = 6
