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Finding the Fourth Proportional to 9,761.92, 14,644.70 and 3,437.44

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Solution

The fourth proportional to 9,761.92, 14,644.70 and 3,437.44 is: 5,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.92 : 14,644.70 = 3,437.44 : x
  2. Step 2: Convert to fraction form
    9,761.92/14,644.70 = 3,437.44/x
  3. Step 3: Cross multiply
    9,761.92x = 14,644.70 × 3,437.44
  4. Step 4: Simplify right side
    9,761.92x = 50,340,277.57
  5. Step 5: Solve for x
    x = 50,340,277.57/9,761.92
  6. Step 6: Final answer
    x = 5,156.80

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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.