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Finding the Fourth Proportional to 8,843.78, 12,206.38 and 6,925.78

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Solution

The fourth proportional to 8,843.78, 12,206.38 and 6,925.78 is: 9,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.78 : 12,206.38 = 6,925.78 : x
  2. Step 2: Convert to fraction form
    8,843.78/12,206.38 = 6,925.78/x
  3. Step 3: Cross multiply
    8,843.78x = 12,206.38 × 6,925.78
  4. Step 4: Simplify right side
    8,843.78x = 84,538,702.48
  5. Step 5: Solve for x
    x = 84,538,702.48/8,843.78
  6. Step 6: Final answer
    x = 9,559.11

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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.