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Finding the Fourth Proportional to 9,205.40, 13,808.22 and 2,631.80

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Solution

The fourth proportional to 9,205.40, 13,808.22 and 2,631.80 is: 3,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.40 : 13,808.22 = 2,631.80 : x
  2. Step 2: Convert to fraction form
    9,205.40/13,808.22 = 2,631.80/x
  3. Step 3: Cross multiply
    9,205.40x = 13,808.22 × 2,631.80
  4. Step 4: Simplify right side
    9,205.40x = 36,340,473.40
  5. Step 5: Solve for x
    x = 36,340,473.40/9,205.40
  6. Step 6: Final answer
    x = 3,947.73

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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.