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Finding the Fourth Proportional to 6,765.49, 9,335.97 and 3,781.56

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Solution

The fourth proportional to 6,765.49, 9,335.97 and 3,781.56 is: 5,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.49 : 9,335.97 = 3,781.56 : x
  2. Step 2: Convert to fraction form
    6,765.49/9,335.97 = 3,781.56/x
  3. Step 3: Cross multiply
    6,765.49x = 9,335.97 × 3,781.56
  4. Step 4: Simplify right side
    6,765.49x = 35,304,530.71
  5. Step 5: Solve for x
    x = 35,304,530.71/6,765.49
  6. Step 6: Final answer
    x = 5,218.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.