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Finding the Fourth Proportional to 6,796, 9,377.67 and 3,963.97

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Solution

The fourth proportional to 6,796, 9,377.67 and 3,963.97 is: 5,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796 : 9,377.67 = 3,963.97 : x
  2. Step 2: Convert to fraction form
    6,796/9,377.67 = 3,963.97/x
  3. Step 3: Cross multiply
    6,796x = 9,377.67 × 3,963.97
  4. Step 4: Simplify right side
    6,796x = 37,172,802.55
  5. Step 5: Solve for x
    x = 37,172,802.55/6,796
  6. Step 6: Final answer
    x = 5,469.81

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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.