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Finding the Fourth Proportional to 9,605.44, 13,255.20 and 5,414.08

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Solution

The fourth proportional to 9,605.44, 13,255.20 and 5,414.08 is: 7,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.44 : 13,255.20 = 5,414.08 : x
  2. Step 2: Convert to fraction form
    9,605.44/13,255.20 = 5,414.08/x
  3. Step 3: Cross multiply
    9,605.44x = 13,255.20 × 5,414.08
  4. Step 4: Simplify right side
    9,605.44x = 71,764,713.22
  5. Step 5: Solve for x
    x = 71,764,713.22/9,605.44
  6. Step 6: Final answer
    x = 7,471.26

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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.