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Finding the Fourth Proportional to 6,729.92, 9,287.14 and 3,745.57

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Solution

The fourth proportional to 6,729.92, 9,287.14 and 3,745.57 is: 5,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.92 : 9,287.14 = 3,745.57 : x
  2. Step 2: Convert to fraction form
    6,729.92/9,287.14 = 3,745.57/x
  3. Step 3: Cross multiply
    6,729.92x = 9,287.14 × 3,745.57
  4. Step 4: Simplify right side
    6,729.92x = 34,785,614.24
  5. Step 5: Solve for x
    x = 34,785,614.24/6,729.92
  6. Step 6: Final answer
    x = 5,168.80

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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.