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Finding the Fourth Proportional to 6,311.80, 9,467.70 and 5,836.60

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Solution

The fourth proportional to 6,311.80, 9,467.70 and 5,836.60 is: 8,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.80 : 9,467.70 = 5,836.60 : x
  2. Step 2: Convert to fraction form
    6,311.80/9,467.70 = 5,836.60/x
  3. Step 3: Cross multiply
    6,311.80x = 9,467.70 × 5,836.60
  4. Step 4: Simplify right side
    6,311.80x = 55,259,177.82
  5. Step 5: Solve for x
    x = 55,259,177.82/6,311.80
  6. Step 6: Final answer
    x = 8,754.90

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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.