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Finding the Fourth Proportional to 6,716.33, 9,268.54 and 3,732.09

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Solution

The fourth proportional to 6,716.33, 9,268.54 and 3,732.09 is: 5,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.33 : 9,268.54 = 3,732.09 : x
  2. Step 2: Convert to fraction form
    6,716.33/9,268.54 = 3,732.09/x
  3. Step 3: Cross multiply
    6,716.33x = 9,268.54 × 3,732.09
  4. Step 4: Simplify right side
    6,716.33x = 34,591,006.79
  5. Step 5: Solve for x
    x = 34,591,006.79/6,716.33
  6. Step 6: Final answer
    x = 5,150.29

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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.