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Finding the Fourth Proportional to 6,942.88, 9,578.64 and 3,958.56

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Solution

The fourth proportional to 6,942.88, 9,578.64 and 3,958.56 is: 5,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.88 : 9,578.64 = 3,958.56 : x
  2. Step 2: Convert to fraction form
    6,942.88/9,578.64 = 3,958.56/x
  3. Step 3: Cross multiply
    6,942.88x = 9,578.64 × 3,958.56
  4. Step 4: Simplify right side
    6,942.88x = 37,917,621.16
  5. Step 5: Solve for x
    x = 37,917,621.16/6,942.88
  6. Step 6: Final answer
    x = 5,461.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.