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Finding the Fourth Proportional to 12,409.35, 18,617.07 and 6,172.31

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Solution

The fourth proportional to 12,409.35, 18,617.07 and 6,172.31 is: 9,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.35 : 18,617.07 = 6,172.31 : x
  2. Step 2: Convert to fraction form
    12,409.35/18,617.07 = 6,172.31/x
  3. Step 3: Cross multiply
    12,409.35x = 18,617.07 × 6,172.31
  4. Step 4: Simplify right side
    12,409.35x = 114,910,234.25
  5. Step 5: Solve for x
    x = 114,910,234.25/12,409.35
  6. Step 6: Final answer
    x = 9,259.97

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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.