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Finding the Fourth Proportional to 6,175.53, 9,215.82 and 5,519.43

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Solution

The fourth proportional to 6,175.53, 9,215.82 and 5,519.43 is: 8,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.53 : 9,215.82 = 5,519.43 : x
  2. Step 2: Convert to fraction form
    6,175.53/9,215.82 = 5,519.43/x
  3. Step 3: Cross multiply
    6,175.53x = 9,215.82 × 5,519.43
  4. Step 4: Simplify right side
    6,175.53x = 50,866,073.38
  5. Step 5: Solve for x
    x = 50,866,073.38/6,175.53
  6. Step 6: Final answer
    x = 8,236.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.