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Finding the Fourth Proportional to 6,467.97, 8,923.65 and 3,949.17

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Solution

The fourth proportional to 6,467.97, 8,923.65 and 3,949.17 is: 5,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.97 : 8,923.65 = 3,949.17 : x
  2. Step 2: Convert to fraction form
    6,467.97/8,923.65 = 3,949.17/x
  3. Step 3: Cross multiply
    6,467.97x = 8,923.65 × 3,949.17
  4. Step 4: Simplify right side
    6,467.97x = 35,241,010.87
  5. Step 5: Solve for x
    x = 35,241,010.87/6,467.97
  6. Step 6: Final answer
    x = 5,448.54

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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.