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Finding the Fourth Proportional to 9,205.97, 13,809.39 and 2,633.12

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Solution

The fourth proportional to 9,205.97, 13,809.39 and 2,633.12 is: 3,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.97 : 13,809.39 = 2,633.12 : x
  2. Step 2: Convert to fraction form
    9,205.97/13,809.39 = 2,633.12/x
  3. Step 3: Cross multiply
    9,205.97x = 13,809.39 × 2,633.12
  4. Step 4: Simplify right side
    9,205.97x = 36,361,711.95
  5. Step 5: Solve for x
    x = 36,361,711.95/9,205.97
  6. Step 6: Final answer
    x = 3,949.80

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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.