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Finding the Fourth Proportional to 6,438.98, 9,660.29 and 2,491.44

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Solution

The fourth proportional to 6,438.98, 9,660.29 and 2,491.44 is: 3,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.98 : 9,660.29 = 2,491.44 : x
  2. Step 2: Convert to fraction form
    6,438.98/9,660.29 = 2,491.44/x
  3. Step 3: Cross multiply
    6,438.98x = 9,660.29 × 2,491.44
  4. Step 4: Simplify right side
    6,438.98x = 24,068,020.46
  5. Step 5: Solve for x
    x = 24,068,020.46/6,438.98
  6. Step 6: Final answer
    x = 3,737.87

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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.