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Finding the Fourth Proportional to 8,009.94, 11,998.17 and 6,441.48

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Solution

The fourth proportional to 8,009.94, 11,998.17 and 6,441.48 is: 9,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.94 : 11,998.17 = 6,441.48 : x
  2. Step 2: Convert to fraction form
    8,009.94/11,998.17 = 6,441.48/x
  3. Step 3: Cross multiply
    8,009.94x = 11,998.17 × 6,441.48
  4. Step 4: Simplify right side
    8,009.94x = 77,286,002.09
  5. Step 5: Solve for x
    x = 77,286,002.09/8,009.94
  6. Step 6: Final answer
    x = 9,648.76

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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.