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Finding the Fourth Proportional to 6,296.27, 9,438.02 and 3,957.92

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Solution

The fourth proportional to 6,296.27, 9,438.02 and 3,957.92 is: 5,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.27 : 9,438.02 = 3,957.92 : x
  2. Step 2: Convert to fraction form
    6,296.27/9,438.02 = 3,957.92/x
  3. Step 3: Cross multiply
    6,296.27x = 9,438.02 × 3,957.92
  4. Step 4: Simplify right side
    6,296.27x = 37,354,861.14
  5. Step 5: Solve for x
    x = 37,354,861.14/6,296.27
  6. Step 6: Final answer
    x = 5,932.86

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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.