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Finding the Fourth Proportional to 8,429.44, 12,645.78 and 3,234.91

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Solution

The fourth proportional to 8,429.44, 12,645.78 and 3,234.91 is: 4,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.44 : 12,645.78 = 3,234.91 : x
  2. Step 2: Convert to fraction form
    8,429.44/12,645.78 = 3,234.91/x
  3. Step 3: Cross multiply
    8,429.44x = 12,645.78 × 3,234.91
  4. Step 4: Simplify right side
    8,429.44x = 40,907,960.18
  5. Step 5: Solve for x
    x = 40,907,960.18/8,429.44
  6. Step 6: Final answer
    x = 4,852.99

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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.