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Finding the Fourth Proportional to 6,355.14, 9,538.92 and 3,439.68

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Solution

The fourth proportional to 6,355.14, 9,538.92 and 3,439.68 is: 5,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.14 : 9,538.92 = 3,439.68 : x
  2. Step 2: Convert to fraction form
    6,355.14/9,538.92 = 3,439.68/x
  3. Step 3: Cross multiply
    6,355.14x = 9,538.92 × 3,439.68
  4. Step 4: Simplify right side
    6,355.14x = 32,810,832.35
  5. Step 5: Solve for x
    x = 32,810,832.35/6,355.14
  6. Step 6: Final answer
    x = 5,162.88

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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.