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Finding the Fourth Proportional to 8,267.21, 12,385.16 and 6,409.22

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Solution

The fourth proportional to 8,267.21, 12,385.16 and 6,409.22 is: 9,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.21 : 12,385.16 = 6,409.22 : x
  2. Step 2: Convert to fraction form
    8,267.21/12,385.16 = 6,409.22/x
  3. Step 3: Cross multiply
    8,267.21x = 12,385.16 × 6,409.22
  4. Step 4: Simplify right side
    8,267.21x = 79,379,169.27
  5. Step 5: Solve for x
    x = 79,379,169.27/8,267.21
  6. Step 6: Final answer
    x = 9,601.69

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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.