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Finding the Fourth Proportional to 6,614.26, 9,961 and 6,023.77

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Solution

The fourth proportional to 6,614.26, 9,961 and 6,023.77 is: 9,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.26 : 9,961 = 6,023.77 : x
  2. Step 2: Convert to fraction form
    6,614.26/9,961 = 6,023.77/x
  3. Step 3: Cross multiply
    6,614.26x = 9,961 × 6,023.77
  4. Step 4: Simplify right side
    6,614.26x = 60,002,772.97
  5. Step 5: Solve for x
    x = 60,002,772.97/6,614.26
  6. Step 6: Final answer
    x = 9,071.73

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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.