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Finding the Fourth Proportional to 7,174.71, 9,902.25 and 4,192.29

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Solution

The fourth proportional to 7,174.71, 9,902.25 and 4,192.29 is: 5,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.71 : 9,902.25 = 4,192.29 : x
  2. Step 2: Convert to fraction form
    7,174.71/9,902.25 = 4,192.29/x
  3. Step 3: Cross multiply
    7,174.71x = 9,902.25 × 4,192.29
  4. Step 4: Simplify right side
    7,174.71x = 41,513,103.65
  5. Step 5: Solve for x
    x = 41,513,103.65/7,174.71
  6. Step 6: Final answer
    x = 5,786.03

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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.