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Finding the Fourth Proportional to 6,930.97, 9,564.74 and 3,744.27

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Solution

The fourth proportional to 6,930.97, 9,564.74 and 3,744.27 is: 5,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.97 : 9,564.74 = 3,744.27 : x
  2. Step 2: Convert to fraction form
    6,930.97/9,564.74 = 3,744.27/x
  3. Step 3: Cross multiply
    6,930.97x = 9,564.74 × 3,744.27
  4. Step 4: Simplify right side
    6,930.97x = 35,812,921.22
  5. Step 5: Solve for x
    x = 35,812,921.22/6,930.97
  6. Step 6: Final answer
    x = 5,167.09

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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.