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Finding the Fourth Proportional to 10,872.72, 15,004.80 and 9,385.20

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Solution

The fourth proportional to 10,872.72, 15,004.80 and 9,385.20 is: 12,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.72 : 15,004.80 = 9,385.20 : x
  2. Step 2: Convert to fraction form
    10,872.72/15,004.80 = 9,385.20/x
  3. Step 3: Cross multiply
    10,872.72x = 15,004.80 × 9,385.20
  4. Step 4: Simplify right side
    10,872.72x = 140,823,048.96
  5. Step 5: Solve for x
    x = 140,823,048.96/10,872.72
  6. Step 6: Final answer
    x = 12,951.96

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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.