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Finding the Fourth Proportional to 9,996.92, 13,792.98 and 5,747.75

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Solution

The fourth proportional to 9,996.92, 13,792.98 and 5,747.75 is: 7,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.92 : 13,792.98 = 5,747.75 : x
  2. Step 2: Convert to fraction form
    9,996.92/13,792.98 = 5,747.75/x
  3. Step 3: Cross multiply
    9,996.92x = 13,792.98 × 5,747.75
  4. Step 4: Simplify right side
    9,996.92x = 79,278,600.80
  5. Step 5: Solve for x
    x = 79,278,600.80/9,996.92
  6. Step 6: Final answer
    x = 7,930.30

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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.