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Finding the Fourth Proportional to 6,358.96, 9,538.17 and 2,463.13

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Solution

The fourth proportional to 6,358.96, 9,538.17 and 2,463.13 is: 3,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.96 : 9,538.17 = 2,463.13 : x
  2. Step 2: Convert to fraction form
    6,358.96/9,538.17 = 2,463.13/x
  3. Step 3: Cross multiply
    6,358.96x = 9,538.17 × 2,463.13
  4. Step 4: Simplify right side
    6,358.96x = 23,493,752.67
  5. Step 5: Solve for x
    x = 23,493,752.67/6,358.96
  6. Step 6: Final answer
    x = 3,694.59

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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.