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Finding the Fourth Proportional to 9,306.78, 12,843.14 and 5,057.74

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Solution

The fourth proportional to 9,306.78, 12,843.14 and 5,057.74 is: 6,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.78 : 12,843.14 = 5,057.74 : x
  2. Step 2: Convert to fraction form
    9,306.78/12,843.14 = 5,057.74/x
  3. Step 3: Cross multiply
    9,306.78x = 12,843.14 × 5,057.74
  4. Step 4: Simplify right side
    9,306.78x = 64,957,262.90
  5. Step 5: Solve for x
    x = 64,957,262.90/9,306.78
  6. Step 6: Final answer
    x = 6,979.56

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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.