Ratio of Numbers
The given ratio is: 2:3:9:4.5:6:8:10

Simplify the Ratio
To simplify the ratio, we need to convert the decimal 4.5 into a fraction. Multiplying it by 10 will give us 45/10. So, the simplified ratio will be 20:30:90:45:60:80:100.

Find the LCM
To find the ratio compounded, we need to find the LCM of the numbers in the ratio. The LCM of 20, 30, 90, 45, 60, 80, and 100 is 3600.

Multiply and Divide by Factors
Now, we need to multiply and divide each number in the ratio by factors that will make them equal to the LCM. For example, to make 20 equal to 3600, we need to multiply it by 180. So, we get:

20 x 180 = 3600

Do this for all the numbers in the ratio.

Final Ratio
After multiplying and dividing by the factors, we get the ratio compounded as:

32400: 108000: 972000: 162000: 216000: 288000: 360000

Therefore, the ratio compounded of 2:3:9:4.5:6 and 8:10 is 32400: 108000: 972000: 162000: 216000: 288000: 360000.