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Finding the Fourth Proportional to 6,162.75, 9,249.17 and 4,317.57

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Solution

The fourth proportional to 6,162.75, 9,249.17 and 4,317.57 is: 6,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.75 : 9,249.17 = 4,317.57 : x
  2. Step 2: Convert to fraction form
    6,162.75/9,249.17 = 4,317.57/x
  3. Step 3: Cross multiply
    6,162.75x = 9,249.17 × 4,317.57
  4. Step 4: Simplify right side
    6,162.75x = 39,933,917.33
  5. Step 5: Solve for x
    x = 39,933,917.33/6,162.75
  6. Step 6: Final answer
    x = 6,479.89

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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.