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Finding the Fourth Proportional to 6,940.73, 9,578.18 and 3,796.91

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Solution

The fourth proportional to 6,940.73, 9,578.18 and 3,796.91 is: 5,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.73 : 9,578.18 = 3,796.91 : x
  2. Step 2: Convert to fraction form
    6,940.73/9,578.18 = 3,796.91/x
  3. Step 3: Cross multiply
    6,940.73x = 9,578.18 × 3,796.91
  4. Step 4: Simplify right side
    6,940.73x = 36,367,420.55
  5. Step 5: Solve for x
    x = 36,367,420.55/6,940.73
  6. Step 6: Final answer
    x = 5,239.71

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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.