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Finding the Fourth Proportional to 6,934, 9,569.50 and 3,949.96

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Solution

The fourth proportional to 6,934, 9,569.50 and 3,949.96 is: 5,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934 : 9,569.50 = 3,949.96 : x
  2. Step 2: Convert to fraction form
    6,934/9,569.50 = 3,949.96/x
  3. Step 3: Cross multiply
    6,934x = 9,569.50 × 3,949.96
  4. Step 4: Simplify right side
    6,934x = 37,799,142.22
  5. Step 5: Solve for x
    x = 37,799,142.22/6,934
  6. Step 6: Final answer
    x = 5,451.28

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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.