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Finding the Fourth Proportional to 6,759.47, 9,278.42 and 5,996.75

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Solution

The fourth proportional to 6,759.47, 9,278.42 and 5,996.75 is: 8,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.47 : 9,278.42 = 5,996.75 : x
  2. Step 2: Convert to fraction form
    6,759.47/9,278.42 = 5,996.75/x
  3. Step 3: Cross multiply
    6,759.47x = 9,278.42 × 5,996.75
  4. Step 4: Simplify right side
    6,759.47x = 55,640,366.25
  5. Step 5: Solve for x
    x = 55,640,366.25/6,759.47
  6. Step 6: Final answer
    x = 8,231.47

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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.