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Finding the Fourth Proportional to 6,784.11, 9,361.11 and 3,949.29

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Solution

The fourth proportional to 6,784.11, 9,361.11 and 3,949.29 is: 5,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.11 : 9,361.11 = 3,949.29 : x
  2. Step 2: Convert to fraction form
    6,784.11/9,361.11 = 3,949.29/x
  3. Step 3: Cross multiply
    6,784.11x = 9,361.11 × 3,949.29
  4. Step 4: Simplify right side
    6,784.11x = 36,969,738.11
  5. Step 5: Solve for x
    x = 36,969,738.11/6,784.11
  6. Step 6: Final answer
    x = 5,449.46

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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.