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Finding the Fourth Proportional to 6,737.09, 9,296.48 and 4,149.61

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Solution

The fourth proportional to 6,737.09, 9,296.48 and 4,149.61 is: 5,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.09 : 9,296.48 = 4,149.61 : x
  2. Step 2: Convert to fraction form
    6,737.09/9,296.48 = 4,149.61/x
  3. Step 3: Cross multiply
    6,737.09x = 9,296.48 × 4,149.61
  4. Step 4: Simplify right side
    6,737.09x = 38,576,757.25
  5. Step 5: Solve for x
    x = 38,576,757.25/6,737.09
  6. Step 6: Final answer
    x = 5,726.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.