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Finding the Fourth Proportional to 9,997.94, 13,789.70 and 8,864.94

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Solution

The fourth proportional to 9,997.94, 13,789.70 and 8,864.94 is: 12,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.94 : 13,789.70 = 8,864.94 : x
  2. Step 2: Convert to fraction form
    9,997.94/13,789.70 = 8,864.94/x
  3. Step 3: Cross multiply
    9,997.94x = 13,789.70 × 8,864.94
  4. Step 4: Simplify right side
    9,997.94x = 122,244,863.12
  5. Step 5: Solve for x
    x = 122,244,863.12/9,997.94
  6. Step 6: Final answer
    x = 12,227.01

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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.