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Finding the Fourth Proportional to 9,306.31, 12,843.50 and 5,115.43

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Solution

The fourth proportional to 9,306.31, 12,843.50 and 5,115.43 is: 7,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.31 : 12,843.50 = 5,115.43 : x
  2. Step 2: Convert to fraction form
    9,306.31/12,843.50 = 5,115.43/x
  3. Step 3: Cross multiply
    9,306.31x = 12,843.50 × 5,115.43
  4. Step 4: Simplify right side
    9,306.31x = 65,700,025.21
  5. Step 5: Solve for x
    x = 65,700,025.21/9,306.31
  6. Step 6: Final answer
    x = 7,059.73

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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.