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Finding the Fourth Proportional to 6,933.41, 9,568.09 and 3,949.24

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Solution

The fourth proportional to 6,933.41, 9,568.09 and 3,949.24 is: 5,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.41 : 9,568.09 = 3,949.24 : x
  2. Step 2: Convert to fraction form
    6,933.41/9,568.09 = 3,949.24/x
  3. Step 3: Cross multiply
    6,933.41x = 9,568.09 × 3,949.24
  4. Step 4: Simplify right side
    6,933.41x = 37,786,649.96
  5. Step 5: Solve for x
    x = 37,786,649.96/6,933.41
  6. Step 6: Final answer
    x = 5,449.94

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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.