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Finding the Fourth Proportional to 9,306.55, 12,843.09 and 5,057.65

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Solution

The fourth proportional to 9,306.55, 12,843.09 and 5,057.65 is: 6,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.55 : 12,843.09 = 5,057.65 : x
  2. Step 2: Convert to fraction form
    9,306.55/12,843.09 = 5,057.65/x
  3. Step 3: Cross multiply
    9,306.55x = 12,843.09 × 5,057.65
  4. Step 4: Simplify right side
    9,306.55x = 64,955,789.92
  5. Step 5: Solve for x
    x = 64,955,789.92/9,306.55
  6. Step 6: Final answer
    x = 6,979.58

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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.