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Finding the Fourth Proportional to 9,306.74, 12,843.47 and 5,057.83

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Solution

The fourth proportional to 9,306.74, 12,843.47 and 5,057.83 is: 6,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.74 : 12,843.47 = 5,057.83 : x
  2. Step 2: Convert to fraction form
    9,306.74/12,843.47 = 5,057.83/x
  3. Step 3: Cross multiply
    9,306.74x = 12,843.47 × 5,057.83
  4. Step 4: Simplify right side
    9,306.74x = 64,960,087.87
  5. Step 5: Solve for x
    x = 64,960,087.87/9,306.74
  6. Step 6: Final answer
    x = 6,979.90

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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.