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Finding the Fourth Proportional to 6,722.13, 9,274.37 and 3,737.39

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Solution

The fourth proportional to 6,722.13, 9,274.37 and 3,737.39 is: 5,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.13 : 9,274.37 = 3,737.39 : x
  2. Step 2: Convert to fraction form
    6,722.13/9,274.37 = 3,737.39/x
  3. Step 3: Cross multiply
    6,722.13x = 9,274.37 × 3,737.39
  4. Step 4: Simplify right side
    6,722.13x = 34,661,872.64
  5. Step 5: Solve for x
    x = 34,661,872.64/6,722.13
  6. Step 6: Final answer
    x = 5,156.38

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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.