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Finding the Fourth Proportional to 6,339.40, 9,494.70 and 3,257.80

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Solution

The fourth proportional to 6,339.40, 9,494.70 and 3,257.80 is: 4,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.40 : 9,494.70 = 3,257.80 : x
  2. Step 2: Convert to fraction form
    6,339.40/9,494.70 = 3,257.80/x
  3. Step 3: Cross multiply
    6,339.40x = 9,494.70 × 3,257.80
  4. Step 4: Simplify right side
    6,339.40x = 30,931,833.66
  5. Step 5: Solve for x
    x = 30,931,833.66/6,339.40
  6. Step 6: Final answer
    x = 4,879.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.