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Finding the Fourth Proportional to 6,174.72, 9,262.68 and 2,014.56

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Solution

The fourth proportional to 6,174.72, 9,262.68 and 2,014.56 is: 3,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.72 : 9,262.68 = 2,014.56 : x
  2. Step 2: Convert to fraction form
    6,174.72/9,262.68 = 2,014.56/x
  3. Step 3: Cross multiply
    6,174.72x = 9,262.68 × 2,014.56
  4. Step 4: Simplify right side
    6,174.72x = 18,660,178.31
  5. Step 5: Solve for x
    x = 18,660,178.31/6,174.72
  6. Step 6: Final answer
    x = 3,022.03

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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.