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Finding the Fourth Proportional to 9,453.26, 13,049.97 and 6,311.54

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Solution

The fourth proportional to 9,453.26, 13,049.97 and 6,311.54 is: 8,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.26 : 13,049.97 = 6,311.54 : x
  2. Step 2: Convert to fraction form
    9,453.26/13,049.97 = 6,311.54/x
  3. Step 3: Cross multiply
    9,453.26x = 13,049.97 × 6,311.54
  4. Step 4: Simplify right side
    9,453.26x = 82,365,407.65
  5. Step 5: Solve for x
    x = 82,365,407.65/9,453.26
  6. Step 6: Final answer
    x = 8,712.91

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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.