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Finding the Fourth Proportional to 9,269.25, 12,778.18 and 6,119.97

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Solution

The fourth proportional to 9,269.25, 12,778.18 and 6,119.97 is: 8,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.25 : 12,778.18 = 6,119.97 : x
  2. Step 2: Convert to fraction form
    9,269.25/12,778.18 = 6,119.97/x
  3. Step 3: Cross multiply
    9,269.25x = 12,778.18 × 6,119.97
  4. Step 4: Simplify right side
    9,269.25x = 78,202,078.25
  5. Step 5: Solve for x
    x = 78,202,078.25/9,269.25
  6. Step 6: Final answer
    x = 8,436.72

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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.