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Finding the Fourth Proportional to 6,231.40, 9,349.80 and 2,942.80

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Solution

The fourth proportional to 6,231.40, 9,349.80 and 2,942.80 is: 4,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.40 : 9,349.80 = 2,942.80 : x
  2. Step 2: Convert to fraction form
    6,231.40/9,349.80 = 2,942.80/x
  3. Step 3: Cross multiply
    6,231.40x = 9,349.80 × 2,942.80
  4. Step 4: Simplify right side
    6,231.40x = 27,514,591.44
  5. Step 5: Solve for x
    x = 27,514,591.44/6,231.40
  6. Step 6: Final answer
    x = 4,415.48

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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.