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Finding the Fourth Proportional to 6,201.40, 9,344.72 and 5,129.76

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Solution

The fourth proportional to 6,201.40, 9,344.72 and 5,129.76 is: 7,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.40 : 9,344.72 = 5,129.76 : x
  2. Step 2: Convert to fraction form
    6,201.40/9,344.72 = 5,129.76/x
  3. Step 3: Cross multiply
    6,201.40x = 9,344.72 × 5,129.76
  4. Step 4: Simplify right side
    6,201.40x = 47,936,170.87
  5. Step 5: Solve for x
    x = 47,936,170.87/6,201.40
  6. Step 6: Final answer
    x = 7,729.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.