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Finding the Fourth Proportional to 9,205.95, 13,809.41 and 2,633.13

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Solution

The fourth proportional to 9,205.95, 13,809.41 and 2,633.13 is: 3,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.95 : 13,809.41 = 2,633.13 : x
  2. Step 2: Convert to fraction form
    9,205.95/13,809.41 = 2,633.13/x
  3. Step 3: Cross multiply
    9,205.95x = 13,809.41 × 2,633.13
  4. Step 4: Simplify right side
    9,205.95x = 36,361,958.59
  5. Step 5: Solve for x
    x = 36,361,958.59/9,205.95
  6. Step 6: Final answer
    x = 3,949.83

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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.