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Finding the Fourth Proportional to 9,589.60, 13,233.54 and 5,397.76

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Solution

The fourth proportional to 9,589.60, 13,233.54 and 5,397.76 is: 7,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.60 : 13,233.54 = 5,397.76 : x
  2. Step 2: Convert to fraction form
    9,589.60/13,233.54 = 5,397.76/x
  3. Step 3: Cross multiply
    9,589.60x = 13,233.54 × 5,397.76
  4. Step 4: Simplify right side
    9,589.60x = 71,431,472.87
  5. Step 5: Solve for x
    x = 71,431,472.87/9,589.60
  6. Step 6: Final answer
    x = 7,448.85

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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.