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Finding the Fourth Proportional to 6,174.32, 9,262.94 and 2,014.33

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Solution

The fourth proportional to 6,174.32, 9,262.94 and 2,014.33 is: 3,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.32 : 9,262.94 = 2,014.33 : x
  2. Step 2: Convert to fraction form
    6,174.32/9,262.94 = 2,014.33/x
  3. Step 3: Cross multiply
    6,174.32x = 9,262.94 × 2,014.33
  4. Step 4: Simplify right side
    6,174.32x = 18,658,593.01
  5. Step 5: Solve for x
    x = 18,658,593.01/6,174.32
  6. Step 6: Final answer
    x = 3,021.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.