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Finding the Fourth Proportional to 10,129.20, 15,187.20 and 9,092.40

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Solution

The fourth proportional to 10,129.20, 15,187.20 and 9,092.40 is: 13,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.20 : 15,187.20 = 9,092.40 : x
  2. Step 2: Convert to fraction form
    10,129.20/15,187.20 = 9,092.40/x
  3. Step 3: Cross multiply
    10,129.20x = 15,187.20 × 9,092.40
  4. Step 4: Simplify right side
    10,129.20x = 138,088,097.28
  5. Step 5: Solve for x
    x = 138,088,097.28/10,129.20
  6. Step 6: Final answer
    x = 13,632.68

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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.