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Finding the Fourth Proportional to 7,141.05, 9,854.64 and 3,997.23

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Solution

The fourth proportional to 7,141.05, 9,854.64 and 3,997.23 is: 5,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.05 : 9,854.64 = 3,997.23 : x
  2. Step 2: Convert to fraction form
    7,141.05/9,854.64 = 3,997.23/x
  3. Step 3: Cross multiply
    7,141.05x = 9,854.64 × 3,997.23
  4. Step 4: Simplify right side
    7,141.05x = 39,391,262.65
  5. Step 5: Solve for x
    x = 39,391,262.65/7,141.05
  6. Step 6: Final answer
    x = 5,516.17

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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.