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Finding the Fourth Proportional to 8,009.45, 11,997.43 and 6,440.98

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Solution

The fourth proportional to 8,009.45, 11,997.43 and 6,440.98 is: 9,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.45 : 11,997.43 = 6,440.98 : x
  2. Step 2: Convert to fraction form
    8,009.45/11,997.43 = 6,440.98/x
  3. Step 3: Cross multiply
    8,009.45x = 11,997.43 × 6,440.98
  4. Step 4: Simplify right side
    8,009.45x = 77,275,174.48
  5. Step 5: Solve for x
    x = 77,275,174.48/8,009.45
  6. Step 6: Final answer
    x = 9,648.01

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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.