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Finding the Fourth Proportional to 9,638.52, 13,301.46 and 5,447.04

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Solution

The fourth proportional to 9,638.52, 13,301.46 and 5,447.04 is: 7,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.52 : 13,301.46 = 5,447.04 : x
  2. Step 2: Convert to fraction form
    9,638.52/13,301.46 = 5,447.04/x
  3. Step 3: Cross multiply
    9,638.52x = 13,301.46 × 5,447.04
  4. Step 4: Simplify right side
    9,638.52x = 72,453,584.68
  5. Step 5: Solve for x
    x = 72,453,584.68/9,638.52
  6. Step 6: Final answer
    x = 7,517.09

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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.