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Finding the Fourth Proportional to 8,017.20, 12,014.46 and 6,283.80

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Solution

The fourth proportional to 8,017.20, 12,014.46 and 6,283.80 is: 9,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.20 : 12,014.46 = 6,283.80 : x
  2. Step 2: Convert to fraction form
    8,017.20/12,014.46 = 6,283.80/x
  3. Step 3: Cross multiply
    8,017.20x = 12,014.46 × 6,283.80
  4. Step 4: Simplify right side
    8,017.20x = 75,496,463.75
  5. Step 5: Solve for x
    x = 75,496,463.75/8,017.20
  6. Step 6: Final answer
    x = 9,416.81

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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.