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Finding the Fourth Proportional to 6,144.27, 9,218.03 and 3,221.79

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Solution

The fourth proportional to 6,144.27, 9,218.03 and 3,221.79 is: 4,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.27 : 9,218.03 = 3,221.79 : x
  2. Step 2: Convert to fraction form
    6,144.27/9,218.03 = 3,221.79/x
  3. Step 3: Cross multiply
    6,144.27x = 9,218.03 × 3,221.79
  4. Step 4: Simplify right side
    6,144.27x = 29,698,556.87
  5. Step 5: Solve for x
    x = 29,698,556.87/6,144.27
  6. Step 6: Final answer
    x = 4,833.54

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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.