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Finding the Fourth Proportional to 9,218.80, 13,814.17 and 6,755.25

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Solution

The fourth proportional to 9,218.80, 13,814.17 and 6,755.25 is: 10,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.80 : 13,814.17 = 6,755.25 : x
  2. Step 2: Convert to fraction form
    9,218.80/13,814.17 = 6,755.25/x
  3. Step 3: Cross multiply
    9,218.80x = 13,814.17 × 6,755.25
  4. Step 4: Simplify right side
    9,218.80x = 93,318,171.89
  5. Step 5: Solve for x
    x = 93,318,171.89/9,218.80
  6. Step 6: Final answer
    x = 10,122.59

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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.