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Finding the Fourth Proportional to 8,231.20, 12,371.70 and 6,262.90

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Solution

The fourth proportional to 8,231.20, 12,371.70 and 6,262.90 is: 9,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.20 : 12,371.70 = 6,262.90 : x
  2. Step 2: Convert to fraction form
    8,231.20/12,371.70 = 6,262.90/x
  3. Step 3: Cross multiply
    8,231.20x = 12,371.70 × 6,262.90
  4. Step 4: Simplify right side
    8,231.20x = 77,482,719.93
  5. Step 5: Solve for x
    x = 77,482,719.93/8,231.20
  6. Step 6: Final answer
    x = 9,413.30

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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.