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Finding the Fourth Proportional to 27,781.44, 41,663.52 and 9,309.12

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Solution

The fourth proportional to 27,781.44, 41,663.52 and 9,309.12 is: 13,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.44 : 41,663.52 = 9,309.12 : x
  2. Step 2: Convert to fraction form
    27,781.44/41,663.52 = 9,309.12/x
  3. Step 3: Cross multiply
    27,781.44x = 41,663.52 × 9,309.12
  4. Step 4: Simplify right side
    27,781.44x = 387,850,707.30
  5. Step 5: Solve for x
    x = 387,850,707.30/27,781.44
  6. Step 6: Final answer
    x = 13,960.78

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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.