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Finding the Fourth Proportional to 10,102.28, 15,129.92 and 9,751.88

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Solution

The fourth proportional to 10,102.28, 15,129.92 and 9,751.88 is: 14,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.28 : 15,129.92 = 9,751.88 : x
  2. Step 2: Convert to fraction form
    10,102.28/15,129.92 = 9,751.88/x
  3. Step 3: Cross multiply
    10,102.28x = 15,129.92 × 9,751.88
  4. Step 4: Simplify right side
    10,102.28x = 147,545,164.25
  5. Step 5: Solve for x
    x = 147,545,164.25/10,102.28
  6. Step 6: Final answer
    x = 14,605.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.