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Finding the Fourth Proportional to 9,034.44, 13,546.80 and 3,489.20

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Solution

The fourth proportional to 9,034.44, 13,546.80 and 3,489.20 is: 5,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.44 : 13,546.80 = 3,489.20 : x
  2. Step 2: Convert to fraction form
    9,034.44/13,546.80 = 3,489.20/x
  3. Step 3: Cross multiply
    9,034.44x = 13,546.80 × 3,489.20
  4. Step 4: Simplify right side
    9,034.44x = 47,267,494.56
  5. Step 5: Solve for x
    x = 47,267,494.56/9,034.44
  6. Step 6: Final answer
    x = 5,231.92

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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.