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Finding the Fourth Proportional to 9,962.92, 13,748.03 and 5,713.94

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Solution

The fourth proportional to 9,962.92, 13,748.03 and 5,713.94 is: 7,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.92 : 13,748.03 = 5,713.94 : x
  2. Step 2: Convert to fraction form
    9,962.92/13,748.03 = 5,713.94/x
  3. Step 3: Cross multiply
    9,962.92x = 13,748.03 × 5,713.94
  4. Step 4: Simplify right side
    9,962.92x = 78,555,418.54
  5. Step 5: Solve for x
    x = 78,555,418.54/9,962.92
  6. Step 6: Final answer
    x = 7,884.78

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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.