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Finding the Fourth Proportional to 9,305.20, 13,957.70 and 2,731.14

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Solution

The fourth proportional to 9,305.20, 13,957.70 and 2,731.14 is: 4,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.20 : 13,957.70 = 2,731.14 : x
  2. Step 2: Convert to fraction form
    9,305.20/13,957.70 = 2,731.14/x
  3. Step 3: Cross multiply
    9,305.20x = 13,957.70 × 2,731.14
  4. Step 4: Simplify right side
    9,305.20x = 38,120,432.78
  5. Step 5: Solve for x
    x = 38,120,432.78/9,305.20
  6. Step 6: Final answer
    x = 4,096.68

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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.