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Finding the Fourth Proportional to 27,961.95, 41,934.03 and 9,238.49

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Solution

The fourth proportional to 27,961.95, 41,934.03 and 9,238.49 is: 13,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961.95 : 41,934.03 = 9,238.49 : x
  2. Step 2: Convert to fraction form
    27,961.95/41,934.03 = 9,238.49/x
  3. Step 3: Cross multiply
    27,961.95x = 41,934.03 × 9,238.49
  4. Step 4: Simplify right side
    27,961.95x = 387,407,116.81
  5. Step 5: Solve for x
    x = 387,407,116.81/27,961.95
  6. Step 6: Final answer
    x = 13,854.80

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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.