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Finding the Fourth Proportional to 8,997.72, 12,412.42 and 6,014.31

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Solution

The fourth proportional to 8,997.72, 12,412.42 and 6,014.31 is: 8,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.72 : 12,412.42 = 6,014.31 : x
  2. Step 2: Convert to fraction form
    8,997.72/12,412.42 = 6,014.31/x
  3. Step 3: Cross multiply
    8,997.72x = 12,412.42 × 6,014.31
  4. Step 4: Simplify right side
    8,997.72x = 74,652,141.73
  5. Step 5: Solve for x
    x = 74,652,141.73/8,997.72
  6. Step 6: Final answer
    x = 8,296.78

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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.