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Finding the Fourth Proportional to 6,562.38, 9,843.57 and 2,665.88

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Solution

The fourth proportional to 6,562.38, 9,843.57 and 2,665.88 is: 3,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.38 : 9,843.57 = 2,665.88 : x
  2. Step 2: Convert to fraction form
    6,562.38/9,843.57 = 2,665.88/x
  3. Step 3: Cross multiply
    6,562.38x = 9,843.57 × 2,665.88
  4. Step 4: Simplify right side
    6,562.38x = 26,241,727.17
  5. Step 5: Solve for x
    x = 26,241,727.17/6,562.38
  6. Step 6: Final answer
    x = 3,998.81

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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.