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Finding the Fourth Proportional to 8,694.40, 13,016.40 and 6,512.80

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Solution

The fourth proportional to 8,694.40, 13,016.40 and 6,512.80 is: 9,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.40 : 13,016.40 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    8,694.40/13,016.40 = 6,512.80/x
  3. Step 3: Cross multiply
    8,694.40x = 13,016.40 × 6,512.80
  4. Step 4: Simplify right side
    8,694.40x = 84,773,209.92
  5. Step 5: Solve for x
    x = 84,773,209.92/8,694.40
  6. Step 6: Final answer
    x = 9,750.32

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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.