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Finding the Fourth Proportional to 7,174.62, 9,900.36 and 4,190.09

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Solution

The fourth proportional to 7,174.62, 9,900.36 and 4,190.09 is: 5,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.62 : 9,900.36 = 4,190.09 : x
  2. Step 2: Convert to fraction form
    7,174.62/9,900.36 = 4,190.09/x
  3. Step 3: Cross multiply
    7,174.62x = 9,900.36 × 4,190.09
  4. Step 4: Simplify right side
    7,174.62x = 41,483,349.93
  5. Step 5: Solve for x
    x = 41,483,349.93/7,174.62
  6. Step 6: Final answer
    x = 5,781.96

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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.