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Finding the Fourth Proportional to 9,644.91, 13,306.05 and 6,286.54

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Solution

The fourth proportional to 9,644.91, 13,306.05 and 6,286.54 is: 8,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.91 : 13,306.05 = 6,286.54 : x
  2. Step 2: Convert to fraction form
    9,644.91/13,306.05 = 6,286.54/x
  3. Step 3: Cross multiply
    9,644.91x = 13,306.05 × 6,286.54
  4. Step 4: Simplify right side
    9,644.91x = 83,649,015.57
  5. Step 5: Solve for x
    x = 83,649,015.57/9,644.91
  6. Step 6: Final answer
    x = 8,672.87

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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.