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Finding the Fourth Proportional to 9,402.26, 12,976.31 and 6,174.86

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Solution

The fourth proportional to 9,402.26, 12,976.31 and 6,174.86 is: 8,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.26 : 12,976.31 = 6,174.86 : x
  2. Step 2: Convert to fraction form
    9,402.26/12,976.31 = 6,174.86/x
  3. Step 3: Cross multiply
    9,402.26x = 12,976.31 × 6,174.86
  4. Step 4: Simplify right side
    9,402.26x = 80,126,848.12
  5. Step 5: Solve for x
    x = 80,126,848.12/9,402.26
  6. Step 6: Final answer
    x = 8,522.09

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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.