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Finding the Fourth Proportional to 7,141.60, 9,855.36 and 3,997.60

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Solution

The fourth proportional to 7,141.60, 9,855.36 and 3,997.60 is: 5,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.60 : 9,855.36 = 3,997.60 : x
  2. Step 2: Convert to fraction form
    7,141.60/9,855.36 = 3,997.60/x
  3. Step 3: Cross multiply
    7,141.60x = 9,855.36 × 3,997.60
  4. Step 4: Simplify right side
    7,141.60x = 39,397,787.14
  5. Step 5: Solve for x
    x = 39,397,787.14/7,141.60
  6. Step 6: Final answer
    x = 5,516.66

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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.