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Finding the Fourth Proportional to 8,209.93, 12,313.68 and 2,286.20

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Solution

The fourth proportional to 8,209.93, 12,313.68 and 2,286.20 is: 3,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.93 : 12,313.68 = 2,286.20 : x
  2. Step 2: Convert to fraction form
    8,209.93/12,313.68 = 2,286.20/x
  3. Step 3: Cross multiply
    8,209.93x = 12,313.68 × 2,286.20
  4. Step 4: Simplify right side
    8,209.93x = 28,151,535.22
  5. Step 5: Solve for x
    x = 28,151,535.22/8,209.93
  6. Step 6: Final answer
    x = 3,428.96

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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.