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Finding the Fourth Proportional to 8,277.20, 12,394.20 and 6,534.80

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Solution

The fourth proportional to 8,277.20, 12,394.20 and 6,534.80 is: 9,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.20 : 12,394.20 = 6,534.80 : x
  2. Step 2: Convert to fraction form
    8,277.20/12,394.20 = 6,534.80/x
  3. Step 3: Cross multiply
    8,277.20x = 12,394.20 × 6,534.80
  4. Step 4: Simplify right side
    8,277.20x = 80,993,618.16
  5. Step 5: Solve for x
    x = 80,993,618.16/8,277.20
  6. Step 6: Final answer
    x = 9,785.15

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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.