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Finding the Fourth Proportional to 6,933.38, 9,568.04 and 3,949.21

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Solution

The fourth proportional to 6,933.38, 9,568.04 and 3,949.21 is: 5,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.38 : 9,568.04 = 3,949.21 : x
  2. Step 2: Convert to fraction form
    6,933.38/9,568.04 = 3,949.21/x
  3. Step 3: Cross multiply
    6,933.38x = 9,568.04 × 3,949.21
  4. Step 4: Simplify right side
    6,933.38x = 37,786,199.25
  5. Step 5: Solve for x
    x = 37,786,199.25/6,933.38
  6. Step 6: Final answer
    x = 5,449.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.