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Finding the Fourth Proportional to 27,781.45, 41,663.52 and 9,309.13

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Solution

The fourth proportional to 27,781.45, 41,663.52 and 9,309.13 is: 13,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.45 : 41,663.52 = 9,309.13 : x
  2. Step 2: Convert to fraction form
    27,781.45/41,663.52 = 9,309.13/x
  3. Step 3: Cross multiply
    27,781.45x = 41,663.52 × 9,309.13
  4. Step 4: Simplify right side
    27,781.45x = 387,851,123.94
  5. Step 5: Solve for x
    x = 387,851,123.94/27,781.45
  6. Step 6: Final answer
    x = 13,960.79

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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.