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Finding the Fourth Proportional to 9,269.70, 12,794.49 and 5,293.12

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Solution

The fourth proportional to 9,269.70, 12,794.49 and 5,293.12 is: 7,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.70 : 12,794.49 = 5,293.12 : x
  2. Step 2: Convert to fraction form
    9,269.70/12,794.49 = 5,293.12/x
  3. Step 3: Cross multiply
    9,269.70x = 12,794.49 × 5,293.12
  4. Step 4: Simplify right side
    9,269.70x = 67,722,770.91
  5. Step 5: Solve for x
    x = 67,722,770.91/9,269.70
  6. Step 6: Final answer
    x = 7,305.82

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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.