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Finding the Fourth Proportional to 9,227.70, 13,850.97 and 6,755.19

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Solution

The fourth proportional to 9,227.70, 13,850.97 and 6,755.19 is: 10,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.70 : 13,850.97 = 6,755.19 : x
  2. Step 2: Convert to fraction form
    9,227.70/13,850.97 = 6,755.19/x
  3. Step 3: Cross multiply
    9,227.70x = 13,850.97 × 6,755.19
  4. Step 4: Simplify right side
    9,227.70x = 93,565,934.03
  5. Step 5: Solve for x
    x = 93,565,934.03/9,227.70
  6. Step 6: Final answer
    x = 10,139.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.