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Finding the Fourth Proportional to 12,195.35, 18,295.96 and 6,269.79

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Solution

The fourth proportional to 12,195.35, 18,295.96 and 6,269.79 is: 9,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.35 : 18,295.96 = 6,269.79 : x
  2. Step 2: Convert to fraction form
    12,195.35/18,295.96 = 6,269.79/x
  3. Step 3: Cross multiply
    12,195.35x = 18,295.96 × 6,269.79
  4. Step 4: Simplify right side
    12,195.35x = 114,711,827.05
  5. Step 5: Solve for x
    x = 114,711,827.05/12,195.35
  6. Step 6: Final answer
    x = 9,406.19

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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.