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Finding the Fourth Proportional to 8,234.20, 12,344.02 and 6,295.06

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Solution

The fourth proportional to 8,234.20, 12,344.02 and 6,295.06 is: 9,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.20 : 12,344.02 = 6,295.06 : x
  2. Step 2: Convert to fraction form
    8,234.20/12,344.02 = 6,295.06/x
  3. Step 3: Cross multiply
    8,234.20x = 12,344.02 × 6,295.06
  4. Step 4: Simplify right side
    8,234.20x = 77,706,346.54
  5. Step 5: Solve for x
    x = 77,706,346.54/8,234.20
  6. Step 6: Final answer
    x = 9,437.02

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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.