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Finding the Fourth Proportional to 8,956.78, 12,370.71 and 6,728.38

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Solution

The fourth proportional to 8,956.78, 12,370.71 and 6,728.38 is: 9,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.78 : 12,370.71 = 6,728.38 : x
  2. Step 2: Convert to fraction form
    8,956.78/12,370.71 = 6,728.38/x
  3. Step 3: Cross multiply
    8,956.78x = 12,370.71 × 6,728.38
  4. Step 4: Simplify right side
    8,956.78x = 83,234,837.75
  5. Step 5: Solve for x
    x = 83,234,837.75/8,956.78
  6. Step 6: Final answer
    x = 9,292.94

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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.