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Finding the Fourth Proportional to 6,375.69, 9,562.10 and 2,426.13

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Solution

The fourth proportional to 6,375.69, 9,562.10 and 2,426.13 is: 3,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.69 : 9,562.10 = 2,426.13 : x
  2. Step 2: Convert to fraction form
    6,375.69/9,562.10 = 2,426.13/x
  3. Step 3: Cross multiply
    6,375.69x = 9,562.10 × 2,426.13
  4. Step 4: Simplify right side
    6,375.69x = 23,198,885.54
  5. Step 5: Solve for x
    x = 23,198,885.54/6,375.69
  6. Step 6: Final answer
    x = 3,638.65

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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.