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Finding the Fourth Proportional to 10,634.28, 15,951.48 and 9,469.68

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Solution

The fourth proportional to 10,634.28, 15,951.48 and 9,469.68 is: 14,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.28 : 15,951.48 = 9,469.68 : x
  2. Step 2: Convert to fraction form
    10,634.28/15,951.48 = 9,469.68/x
  3. Step 3: Cross multiply
    10,634.28x = 15,951.48 × 9,469.68
  4. Step 4: Simplify right side
    10,634.28x = 151,055,411.13
  5. Step 5: Solve for x
    x = 151,055,411.13/10,634.28
  6. Step 6: Final answer
    x = 14,204.57

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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.