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Finding the Fourth Proportional to 6,759.67, 9,278.70 and 5,996.97

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Solution

The fourth proportional to 6,759.67, 9,278.70 and 5,996.97 is: 8,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.67 : 9,278.70 = 5,996.97 : x
  2. Step 2: Convert to fraction form
    6,759.67/9,278.70 = 5,996.97/x
  3. Step 3: Cross multiply
    6,759.67x = 9,278.70 × 5,996.97
  4. Step 4: Simplify right side
    6,759.67x = 55,644,085.54
  5. Step 5: Solve for x
    x = 55,644,085.54/6,759.67
  6. Step 6: Final answer
    x = 8,231.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.