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Finding the Fourth Proportional to 9,866.55, 13,614.61 and 5,618.16

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Solution

The fourth proportional to 9,866.55, 13,614.61 and 5,618.16 is: 7,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.55 : 13,614.61 = 5,618.16 : x
  2. Step 2: Convert to fraction form
    9,866.55/13,614.61 = 5,618.16/x
  3. Step 3: Cross multiply
    9,866.55x = 13,614.61 × 5,618.16
  4. Step 4: Simplify right side
    9,866.55x = 76,489,057.32
  5. Step 5: Solve for x
    x = 76,489,057.32/9,866.55
  6. Step 6: Final answer
    x = 7,752.36

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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.