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Finding the Fourth Proportional to 9,209.47, 13,814.31 and 7,372.27

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Solution

The fourth proportional to 9,209.47, 13,814.31 and 7,372.27 is: 11,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.47 : 13,814.31 = 7,372.27 : x
  2. Step 2: Convert to fraction form
    9,209.47/13,814.31 = 7,372.27/x
  3. Step 3: Cross multiply
    9,209.47x = 13,814.31 × 7,372.27
  4. Step 4: Simplify right side
    9,209.47x = 101,842,734.52
  5. Step 5: Solve for x
    x = 101,842,734.52/9,209.47
  6. Step 6: Final answer
    x = 11,058.48

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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.