Question

Find a if, 4:a::a:9
​

Answer 1

The values of a are -6 and 6.

Step-by-step explanation:

The given proportion is

4:a::a:9

Write in ratios form

$\frac{4}{a}=\frac{a}{9}$

Cross multiplying, we get

$a^2=36$

Take square root both sides

$\sqrt{a^2}=\pm\sqrt{36}\\\\a=\pm6$

Therefore, the values of a are -6 and 6.

#Learn More:

Find the number such that their mean proportional is 14 and third proportion is 112.​

https://brainly.in/question/12003830

Answer 2

ANSWER: 18

4:a::a:9

4×9=a×a

36=2a

36/2=a

18=a

HOPE YOU FIND YOUR ANSWER