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Finding the Fourth Proportional to 6,940.56, 9,577.37 and 3,956.33

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Solution

The fourth proportional to 6,940.56, 9,577.37 and 3,956.33 is: 5,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.56 : 9,577.37 = 3,956.33 : x
  2. Step 2: Convert to fraction form
    6,940.56/9,577.37 = 3,956.33/x
  3. Step 3: Cross multiply
    6,940.56x = 9,577.37 × 3,956.33
  4. Step 4: Simplify right side
    6,940.56x = 37,891,168.58
  5. Step 5: Solve for x
    x = 37,891,168.58/6,940.56
  6. Step 6: Final answer
    x = 5,459.38

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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.