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Finding the Fourth Proportional to 27,933.35, 41,891.13 and 9,209.90

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Solution

The fourth proportional to 27,933.35, 41,891.13 and 9,209.90 is: 13,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,933.35 : 41,891.13 = 9,209.90 : x
  2. Step 2: Convert to fraction form
    27,933.35/41,891.13 = 9,209.90/x
  3. Step 3: Cross multiply
    27,933.35x = 41,891.13 × 9,209.90
  4. Step 4: Simplify right side
    27,933.35x = 385,813,222.91
  5. Step 5: Solve for x
    x = 385,813,222.91/27,933.35
  6. Step 6: Final answer
    x = 13,811.92

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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.