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Finding the Fourth Proportional to 6,872.76, 9,484.38 and 3,728.97

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Solution

The fourth proportional to 6,872.76, 9,484.38 and 3,728.97 is: 5,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.76 : 9,484.38 = 3,728.97 : x
  2. Step 2: Convert to fraction form
    6,872.76/9,484.38 = 3,728.97/x
  3. Step 3: Cross multiply
    6,872.76x = 9,484.38 × 3,728.97
  4. Step 4: Simplify right side
    6,872.76x = 35,366,968.49
  5. Step 5: Solve for x
    x = 35,366,968.49/6,872.76
  6. Step 6: Final answer
    x = 5,145.96

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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.