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Finding the Fourth Proportional to 6,174.16, 9,261.68 and 2,013.86

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Solution

The fourth proportional to 6,174.16, 9,261.68 and 2,013.86 is: 3,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.16 : 9,261.68 = 2,013.86 : x
  2. Step 2: Convert to fraction form
    6,174.16/9,261.68 = 2,013.86/x
  3. Step 3: Cross multiply
    6,174.16x = 9,261.68 × 2,013.86
  4. Step 4: Simplify right side
    6,174.16x = 18,651,739.97
  5. Step 5: Solve for x
    x = 18,651,739.97/6,174.16
  6. Step 6: Final answer
    x = 3,020.94

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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.