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Finding the Fourth Proportional to 9,862.80, 13,609.44 and 5,614.41

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Solution

The fourth proportional to 9,862.80, 13,609.44 and 5,614.41 is: 7,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.80 : 13,609.44 = 5,614.41 : x
  2. Step 2: Convert to fraction form
    9,862.80/13,609.44 = 5,614.41/x
  3. Step 3: Cross multiply
    9,862.80x = 13,609.44 × 5,614.41
  4. Step 4: Simplify right side
    9,862.80x = 76,408,976.03
  5. Step 5: Solve for x
    x = 76,408,976.03/9,862.80
  6. Step 6: Final answer
    x = 7,747.19

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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.