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Finding the Fourth Proportional to 9,261.20, 13,891.80 and 3,105.20

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Solution

The fourth proportional to 9,261.20, 13,891.80 and 3,105.20 is: 4,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.20 : 13,891.80 = 3,105.20 : x
  2. Step 2: Convert to fraction form
    9,261.20/13,891.80 = 3,105.20/x
  3. Step 3: Cross multiply
    9,261.20x = 13,891.80 × 3,105.20
  4. Step 4: Simplify right side
    9,261.20x = 43,136,747.90
  5. Step 5: Solve for x
    x = 43,136,747.90/9,261.20
  6. Step 6: Final answer
    x = 4,657.80

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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.