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Finding the Fourth Proportional to 6,341.57, 9,517.96 and 3,013.91

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Solution

The fourth proportional to 6,341.57, 9,517.96 and 3,013.91 is: 4,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.57 : 9,517.96 = 3,013.91 : x
  2. Step 2: Convert to fraction form
    6,341.57/9,517.96 = 3,013.91/x
  3. Step 3: Cross multiply
    6,341.57x = 9,517.96 × 3,013.91
  4. Step 4: Simplify right side
    6,341.57x = 28,686,227.23
  5. Step 5: Solve for x
    x = 28,686,227.23/6,341.57
  6. Step 6: Final answer
    x = 4,523.52

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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.