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Finding the Fourth Proportional to 6,304.14, 9,452.97 and 2,839.50

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Solution

The fourth proportional to 6,304.14, 9,452.97 and 2,839.50 is: 4,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.14 : 9,452.97 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    6,304.14/9,452.97 = 2,839.50/x
  3. Step 3: Cross multiply
    6,304.14x = 9,452.97 × 2,839.50
  4. Step 4: Simplify right side
    6,304.14x = 26,841,708.32
  5. Step 5: Solve for x
    x = 26,841,708.32/6,304.14
  6. Step 6: Final answer
    x = 4,257.79

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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.