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Finding the Fourth Proportional to 8,014.73, 11,997.33 and 6,264.83

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Solution

The fourth proportional to 8,014.73, 11,997.33 and 6,264.83 is: 9,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.73 : 11,997.33 = 6,264.83 : x
  2. Step 2: Convert to fraction form
    8,014.73/11,997.33 = 6,264.83/x
  3. Step 3: Cross multiply
    8,014.73x = 11,997.33 × 6,264.83
  4. Step 4: Simplify right side
    8,014.73x = 75,161,172.92
  5. Step 5: Solve for x
    x = 75,161,172.92/8,014.73
  6. Step 6: Final answer
    x = 9,377.89

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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.