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Finding the Fourth Proportional to 6,067.71, 9,083.34 and 4,313.25

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Solution

The fourth proportional to 6,067.71, 9,083.34 and 4,313.25 is: 6,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.71 : 9,083.34 = 4,313.25 : x
  2. Step 2: Convert to fraction form
    6,067.71/9,083.34 = 4,313.25/x
  3. Step 3: Cross multiply
    6,067.71x = 9,083.34 × 4,313.25
  4. Step 4: Simplify right side
    6,067.71x = 39,178,716.26
  5. Step 5: Solve for x
    x = 39,178,716.26/6,067.71
  6. Step 6: Final answer
    x = 6,456.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.