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Finding the Fourth Proportional to 8,209.60, 12,314.40 and 6,366.40

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Solution

The fourth proportional to 8,209.60, 12,314.40 and 6,366.40 is: 9,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.60 : 12,314.40 = 6,366.40 : x
  2. Step 2: Convert to fraction form
    8,209.60/12,314.40 = 6,366.40/x
  3. Step 3: Cross multiply
    8,209.60x = 12,314.40 × 6,366.40
  4. Step 4: Simplify right side
    8,209.60x = 78,398,396.16
  5. Step 5: Solve for x
    x = 78,398,396.16/8,209.60
  6. Step 6: Final answer
    x = 9,549.60

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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.