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Finding the Fourth Proportional to 6,201.89, 9,344.20 and 5,609.59

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Solution

The fourth proportional to 6,201.89, 9,344.20 and 5,609.59 is: 8,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.89 : 9,344.20 = 5,609.59 : x
  2. Step 2: Convert to fraction form
    6,201.89/9,344.20 = 5,609.59/x
  3. Step 3: Cross multiply
    6,201.89x = 9,344.20 × 5,609.59
  4. Step 4: Simplify right side
    6,201.89x = 52,417,177.61
  5. Step 5: Solve for x
    x = 52,417,177.61/6,201.89
  6. Step 6: Final answer
    x = 8,451.81

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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.