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Finding the Fourth Proportional to 6,942.14, 9,579.58 and 3,957.41

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Solution

The fourth proportional to 6,942.14, 9,579.58 and 3,957.41 is: 5,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.14 : 9,579.58 = 3,957.41 : x
  2. Step 2: Convert to fraction form
    6,942.14/9,579.58 = 3,957.41/x
  3. Step 3: Cross multiply
    6,942.14x = 9,579.58 × 3,957.41
  4. Step 4: Simplify right side
    6,942.14x = 37,910,325.69
  5. Step 5: Solve for x
    x = 37,910,325.69/6,942.14
  6. Step 6: Final answer
    x = 5,460.90

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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.