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Finding the Fourth Proportional to 6,174.38, 9,262.53 and 2,665.37

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Solution

The fourth proportional to 6,174.38, 9,262.53 and 2,665.37 is: 3,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.38 : 9,262.53 = 2,665.37 : x
  2. Step 2: Convert to fraction form
    6,174.38/9,262.53 = 2,665.37/x
  3. Step 3: Cross multiply
    6,174.38x = 9,262.53 × 2,665.37
  4. Step 4: Simplify right side
    6,174.38x = 24,688,092.74
  5. Step 5: Solve for x
    x = 24,688,092.74/6,174.38
  6. Step 6: Final answer
    x = 3,998.47

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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.