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Finding the Fourth Proportional to 27,077.49, 40,617.45 and 9,549.09

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Solution

The fourth proportional to 27,077.49, 40,617.45 and 9,549.09 is: 14,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.49 : 40,617.45 = 9,549.09 : x
  2. Step 2: Convert to fraction form
    27,077.49/40,617.45 = 9,549.09/x
  3. Step 3: Cross multiply
    27,077.49x = 40,617.45 × 9,549.09
  4. Step 4: Simplify right side
    27,077.49x = 387,859,685.62
  5. Step 5: Solve for x
    x = 387,859,685.62/27,077.49
  6. Step 6: Final answer
    x = 14,324.06

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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.