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Finding the Fourth Proportional to 6,296.44, 8,674.05 and 4,404.49

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Solution

The fourth proportional to 6,296.44, 8,674.05 and 4,404.49 is: 6,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.44 : 8,674.05 = 4,404.49 : x
  2. Step 2: Convert to fraction form
    6,296.44/8,674.05 = 4,404.49/x
  3. Step 3: Cross multiply
    6,296.44x = 8,674.05 × 4,404.49
  4. Step 4: Simplify right side
    6,296.44x = 38,204,766.48
  5. Step 5: Solve for x
    x = 38,204,766.48/6,296.44
  6. Step 6: Final answer
    x = 6,067.68

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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.