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Finding the Fourth Proportional to 6,175.73, 8,523.69 and 3,940.13

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Solution

The fourth proportional to 6,175.73, 8,523.69 and 3,940.13 is: 5,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.73 : 8,523.69 = 3,940.13 : x
  2. Step 2: Convert to fraction form
    6,175.73/8,523.69 = 3,940.13/x
  3. Step 3: Cross multiply
    6,175.73x = 8,523.69 × 3,940.13
  4. Step 4: Simplify right side
    6,175.73x = 33,584,446.68
  5. Step 5: Solve for x
    x = 33,584,446.68/6,175.73
  6. Step 6: Final answer
    x = 5,438.13

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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.