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Finding the Fourth Proportional to 9,589.39, 13,229.09 and 5,608.74

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Solution

The fourth proportional to 9,589.39, 13,229.09 and 5,608.74 is: 7,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.39 : 13,229.09 = 5,608.74 : x
  2. Step 2: Convert to fraction form
    9,589.39/13,229.09 = 5,608.74/x
  3. Step 3: Cross multiply
    9,589.39x = 13,229.09 × 5,608.74
  4. Step 4: Simplify right side
    9,589.39x = 74,198,526.25
  5. Step 5: Solve for x
    x = 74,198,526.25/9,589.39
  6. Step 6: Final answer
    x = 7,737.56

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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.