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Finding the Fourth Proportional to 6,768.29, 9,340.28 and 3,937.34

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Solution

The fourth proportional to 6,768.29, 9,340.28 and 3,937.34 is: 5,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.29 : 9,340.28 = 3,937.34 : x
  2. Step 2: Convert to fraction form
    6,768.29/9,340.28 = 3,937.34/x
  3. Step 3: Cross multiply
    6,768.29x = 9,340.28 × 3,937.34
  4. Step 4: Simplify right side
    6,768.29x = 36,775,838.37
  5. Step 5: Solve for x
    x = 36,775,838.37/6,768.29
  6. Step 6: Final answer
    x = 5,433.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.