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Finding the Fourth Proportional to 8,267.39, 12,385.44 and 6,409.40

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Solution

The fourth proportional to 8,267.39, 12,385.44 and 6,409.40 is: 9,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.39 : 12,385.44 = 6,409.40 : x
  2. Step 2: Convert to fraction form
    8,267.39/12,385.44 = 6,409.40/x
  3. Step 3: Cross multiply
    8,267.39x = 12,385.44 × 6,409.40
  4. Step 4: Simplify right side
    8,267.39x = 79,383,177.21
  5. Step 5: Solve for x
    x = 79,383,177.21/8,267.39
  6. Step 6: Final answer
    x = 9,601.97

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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.