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Finding the Fourth Proportional to 9,195.20, 13,760.40 and 6,408.80

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Solution

The fourth proportional to 9,195.20, 13,760.40 and 6,408.80 is: 9,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.20 : 13,760.40 = 6,408.80 : x
  2. Step 2: Convert to fraction form
    9,195.20/13,760.40 = 6,408.80/x
  3. Step 3: Cross multiply
    9,195.20x = 13,760.40 × 6,408.80
  4. Step 4: Simplify right side
    9,195.20x = 88,187,651.52
  5. Step 5: Solve for x
    x = 88,187,651.52/9,195.20
  6. Step 6: Final answer
    x = 9,590.62

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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.