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Finding the Fourth Proportional to 6,872.05, 9,483.38 and 3,728.17

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Solution

The fourth proportional to 6,872.05, 9,483.38 and 3,728.17 is: 5,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.05 : 9,483.38 = 3,728.17 : x
  2. Step 2: Convert to fraction form
    6,872.05/9,483.38 = 3,728.17/x
  3. Step 3: Cross multiply
    6,872.05x = 9,483.38 × 3,728.17
  4. Step 4: Simplify right side
    6,872.05x = 35,355,614.72
  5. Step 5: Solve for x
    x = 35,355,614.72/6,872.05
  6. Step 6: Final answer
    x = 5,144.85

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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.