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Finding the Fourth Proportional to 9,899.69, 13,661.16 and 5,918.45

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Solution

The fourth proportional to 9,899.69, 13,661.16 and 5,918.45 is: 8,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.69 : 13,661.16 = 5,918.45 : x
  2. Step 2: Convert to fraction form
    9,899.69/13,661.16 = 5,918.45/x
  3. Step 3: Cross multiply
    9,899.69x = 13,661.16 × 5,918.45
  4. Step 4: Simplify right side
    9,899.69x = 80,852,824.10
  5. Step 5: Solve for x
    x = 80,852,824.10/9,899.69
  6. Step 6: Final answer
    x = 8,167.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.