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Finding the Fourth Proportional to 9,489.87, 14,223.26 and 6,717.33

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Solution

The fourth proportional to 9,489.87, 14,223.26 and 6,717.33 is: 10,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.87 : 14,223.26 = 6,717.33 : x
  2. Step 2: Convert to fraction form
    9,489.87/14,223.26 = 6,717.33/x
  3. Step 3: Cross multiply
    9,489.87x = 14,223.26 × 6,717.33
  4. Step 4: Simplify right side
    9,489.87x = 95,542,297.51
  5. Step 5: Solve for x
    x = 95,542,297.51/9,489.87
  6. Step 6: Final answer
    x = 10,067.82

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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.