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Finding the Fourth Proportional to 6,745.62, 9,308.70 and 3,761.40

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Solution

The fourth proportional to 6,745.62, 9,308.70 and 3,761.40 is: 5,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.62 : 9,308.70 = 3,761.40 : x
  2. Step 2: Convert to fraction form
    6,745.62/9,308.70 = 3,761.40/x
  3. Step 3: Cross multiply
    6,745.62x = 9,308.70 × 3,761.40
  4. Step 4: Simplify right side
    6,745.62x = 35,013,744.18
  5. Step 5: Solve for x
    x = 35,013,744.18/6,745.62
  6. Step 6: Final answer
    x = 5,190.59

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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.