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Finding the Fourth Proportional to 9,205.57, 13,808.05 and 2,631.76

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Solution

The fourth proportional to 9,205.57, 13,808.05 and 2,631.76 is: 3,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.57 : 13,808.05 = 2,631.76 : x
  2. Step 2: Convert to fraction form
    9,205.57/13,808.05 = 2,631.76/x
  3. Step 3: Cross multiply
    9,205.57x = 13,808.05 × 2,631.76
  4. Step 4: Simplify right side
    9,205.57x = 36,339,473.67
  5. Step 5: Solve for x
    x = 36,339,473.67/9,205.57
  6. Step 6: Final answer
    x = 3,947.55

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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.