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Finding the Fourth Proportional to 7,141.28, 9,855.16 and 3,997.44

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Solution

The fourth proportional to 7,141.28, 9,855.16 and 3,997.44 is: 5,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.28 : 9,855.16 = 3,997.44 : x
  2. Step 2: Convert to fraction form
    7,141.28/9,855.16 = 3,997.44/x
  3. Step 3: Cross multiply
    7,141.28x = 9,855.16 × 3,997.44
  4. Step 4: Simplify right side
    7,141.28x = 39,395,410.79
  5. Step 5: Solve for x
    x = 39,395,410.79/7,141.28
  6. Step 6: Final answer
    x = 5,516.58

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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.