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Finding the Fourth Proportional to 9,605.20, 14,405.40 and 3,680.80

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Solution

The fourth proportional to 9,605.20, 14,405.40 and 3,680.80 is: 5,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.20 : 14,405.40 = 3,680.80 : x
  2. Step 2: Convert to fraction form
    9,605.20/14,405.40 = 3,680.80/x
  3. Step 3: Cross multiply
    9,605.20x = 14,405.40 × 3,680.80
  4. Step 4: Simplify right side
    9,605.20x = 53,023,396.32
  5. Step 5: Solve for x
    x = 53,023,396.32/9,605.20
  6. Step 6: Final answer
    x = 5,520.28

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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.