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Finding the Fourth Proportional to 6,254.38, 9,382.88 and 2,358.76

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Solution

The fourth proportional to 6,254.38, 9,382.88 and 2,358.76 is: 3,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.38 : 9,382.88 = 2,358.76 : x
  2. Step 2: Convert to fraction form
    6,254.38/9,382.88 = 2,358.76/x
  3. Step 3: Cross multiply
    6,254.38x = 9,382.88 × 2,358.76
  4. Step 4: Simplify right side
    6,254.38x = 22,131,962.03
  5. Step 5: Solve for x
    x = 22,131,962.03/6,254.38
  6. Step 6: Final answer
    x = 3,538.63

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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.