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Finding the Fourth Proportional to 8,234.40, 12,339.36 and 6,481.20

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Solution

The fourth proportional to 8,234.40, 12,339.36 and 6,481.20 is: 9,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 12,339.36 = 6,481.20 : x
  2. Step 2: Convert to fraction form
    8,234.40/12,339.36 = 6,481.20/x
  3. Step 3: Cross multiply
    8,234.40x = 12,339.36 × 6,481.20
  4. Step 4: Simplify right side
    8,234.40x = 79,973,860.03
  5. Step 5: Solve for x
    x = 79,973,860.03/8,234.40
  6. Step 6: Final answer
    x = 9,712.17

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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.