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Finding the Fourth Proportional to 9,432.44, 13,013.03 and 5,452.82

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Solution

The fourth proportional to 9,432.44, 13,013.03 and 5,452.82 is: 7,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.44 : 13,013.03 = 5,452.82 : x
  2. Step 2: Convert to fraction form
    9,432.44/13,013.03 = 5,452.82/x
  3. Step 3: Cross multiply
    9,432.44x = 13,013.03 × 5,452.82
  4. Step 4: Simplify right side
    9,432.44x = 70,957,617.92
  5. Step 5: Solve for x
    x = 70,957,617.92/9,432.44
  6. Step 6: Final answer
    x = 7,522.73

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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.