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Finding the Fourth Proportional to 8,234.98, 11,365.89 and 6,438.91

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Solution

The fourth proportional to 8,234.98, 11,365.89 and 6,438.91 is: 8,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.98 : 11,365.89 = 6,438.91 : x
  2. Step 2: Convert to fraction form
    8,234.98/11,365.89 = 6,438.91/x
  3. Step 3: Cross multiply
    8,234.98x = 11,365.89 × 6,438.91
  4. Step 4: Simplify right side
    8,234.98x = 73,183,910.59
  5. Step 5: Solve for x
    x = 73,183,910.59/8,234.98
  6. Step 6: Final answer
    x = 8,886.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.