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Finding the Fourth Proportional to 8,209.84, 12,306.60 and 3,276.40

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Solution

The fourth proportional to 8,209.84, 12,306.60 and 3,276.40 is: 4,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.84 : 12,306.60 = 3,276.40 : x
  2. Step 2: Convert to fraction form
    8,209.84/12,306.60 = 3,276.40/x
  3. Step 3: Cross multiply
    8,209.84x = 12,306.60 × 3,276.40
  4. Step 4: Simplify right side
    8,209.84x = 40,321,344.24
  5. Step 5: Solve for x
    x = 40,321,344.24/8,209.84
  6. Step 6: Final answer
    x = 4,911.34

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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.