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Finding the Fourth Proportional to 6,933.42, 9,568.08 and 3,949.38

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Solution

The fourth proportional to 6,933.42, 9,568.08 and 3,949.38 is: 5,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.42 : 9,568.08 = 3,949.38 : x
  2. Step 2: Convert to fraction form
    6,933.42/9,568.08 = 3,949.38/x
  3. Step 3: Cross multiply
    6,933.42x = 9,568.08 × 3,949.38
  4. Step 4: Simplify right side
    6,933.42x = 37,787,983.79
  5. Step 5: Solve for x
    x = 37,787,983.79/6,933.42
  6. Step 6: Final answer
    x = 5,450.12

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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.