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Finding the Fourth Proportional to 9,961.42, 13,745.97 and 5,712.43

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Solution

The fourth proportional to 9,961.42, 13,745.97 and 5,712.43 is: 7,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.42 : 13,745.97 = 5,712.43 : x
  2. Step 2: Convert to fraction form
    9,961.42/13,745.97 = 5,712.43/x
  3. Step 3: Cross multiply
    9,961.42x = 13,745.97 × 5,712.43
  4. Step 4: Simplify right side
    9,961.42x = 78,522,891.41
  5. Step 5: Solve for x
    x = 78,522,891.41/9,961.42
  6. Step 6: Final answer
    x = 7,882.70

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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.