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Finding the Fourth Proportional to 8,209.30, 12,314.22 and 2,662.69

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Solution

The fourth proportional to 8,209.30, 12,314.22 and 2,662.69 is: 3,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.30 : 12,314.22 = 2,662.69 : x
  2. Step 2: Convert to fraction form
    8,209.30/12,314.22 = 2,662.69/x
  3. Step 3: Cross multiply
    8,209.30x = 12,314.22 × 2,662.69
  4. Step 4: Simplify right side
    8,209.30x = 32,788,919.67
  5. Step 5: Solve for x
    x = 32,788,919.67/8,209.30
  6. Step 6: Final answer
    x = 3,994.12

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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.