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Finding the Fourth Proportional to 6,942.72, 9,579.84 and 3,959.04

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Solution

The fourth proportional to 6,942.72, 9,579.84 and 3,959.04 is: 5,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.72 : 9,579.84 = 3,959.04 : x
  2. Step 2: Convert to fraction form
    6,942.72/9,579.84 = 3,959.04/x
  3. Step 3: Cross multiply
    6,942.72x = 9,579.84 × 3,959.04
  4. Step 4: Simplify right side
    6,942.72x = 37,926,969.75
  5. Step 5: Solve for x
    x = 37,926,969.75/6,942.72
  6. Step 6: Final answer
    x = 5,462.84

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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.