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Finding the Fourth Proportional to 9,149.80, 13,707.26 and 5,242.28

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Solution

The fourth proportional to 9,149.80, 13,707.26 and 5,242.28 is: 7,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.80 : 13,707.26 = 5,242.28 : x
  2. Step 2: Convert to fraction form
    9,149.80/13,707.26 = 5,242.28/x
  3. Step 3: Cross multiply
    9,149.80x = 13,707.26 × 5,242.28
  4. Step 4: Simplify right side
    9,149.80x = 71,857,294.95
  5. Step 5: Solve for x
    x = 71,857,294.95/9,149.80
  6. Step 6: Final answer
    x = 7,853.43

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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.