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Finding the Fourth Proportional to 6,138.92, 9,212.40 and 3,367.53

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Solution

The fourth proportional to 6,138.92, 9,212.40 and 3,367.53 is: 5,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.92 : 9,212.40 = 3,367.53 : x
  2. Step 2: Convert to fraction form
    6,138.92/9,212.40 = 3,367.53/x
  3. Step 3: Cross multiply
    6,138.92x = 9,212.40 × 3,367.53
  4. Step 4: Simplify right side
    6,138.92x = 31,023,033.37
  5. Step 5: Solve for x
    x = 31,023,033.37/6,138.92
  6. Step 6: Final answer
    x = 5,053.50

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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.