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Finding the Fourth Proportional to 6,144.78, 9,169.98 and 5,488.68

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Solution

The fourth proportional to 6,144.78, 9,169.98 and 5,488.68 is: 8,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.78 : 9,169.98 = 5,488.68 : x
  2. Step 2: Convert to fraction form
    6,144.78/9,169.98 = 5,488.68/x
  3. Step 3: Cross multiply
    6,144.78x = 9,169.98 × 5,488.68
  4. Step 4: Simplify right side
    6,144.78x = 50,331,085.83
  5. Step 5: Solve for x
    x = 50,331,085.83/6,144.78
  6. Step 6: Final answer
    x = 8,190.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.