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Finding the Fourth Proportional to 8,940.78, 12,338.12 and 4,962.06

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Solution

The fourth proportional to 8,940.78, 12,338.12 and 4,962.06 is: 6,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.78 : 12,338.12 = 4,962.06 : x
  2. Step 2: Convert to fraction form
    8,940.78/12,338.12 = 4,962.06/x
  3. Step 3: Cross multiply
    8,940.78x = 12,338.12 × 4,962.06
  4. Step 4: Simplify right side
    8,940.78x = 61,222,504.13
  5. Step 5: Solve for x
    x = 61,222,504.13/8,940.78
  6. Step 6: Final answer
    x = 6,847.56

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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.