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Finding the Fourth Proportional to 6,839.73, 9,377.28 and 6,715.17

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Solution

The fourth proportional to 6,839.73, 9,377.28 and 6,715.17 is: 9,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.73 : 9,377.28 = 6,715.17 : x
  2. Step 2: Convert to fraction form
    6,839.73/9,377.28 = 6,715.17/x
  3. Step 3: Cross multiply
    6,839.73x = 9,377.28 × 6,715.17
  4. Step 4: Simplify right side
    6,839.73x = 62,970,029.34
  5. Step 5: Solve for x
    x = 62,970,029.34/6,839.73
  6. Step 6: Final answer
    x = 9,206.51

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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.