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Finding the Fourth Proportional to 6,872.27, 9,483.78 and 3,728.46

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Solution

The fourth proportional to 6,872.27, 9,483.78 and 3,728.46 is: 5,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.27 : 9,483.78 = 3,728.46 : x
  2. Step 2: Convert to fraction form
    6,872.27/9,483.78 = 3,728.46/x
  3. Step 3: Cross multiply
    6,872.27x = 9,483.78 × 3,728.46
  4. Step 4: Simplify right side
    6,872.27x = 35,359,894.38
  5. Step 5: Solve for x
    x = 35,359,894.38/6,872.27
  6. Step 6: Final answer
    x = 5,145.30

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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.