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Finding the Fourth Proportional to 8,009.29, 11,997.19 and 6,440.81

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Solution

The fourth proportional to 8,009.29, 11,997.19 and 6,440.81 is: 9,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.29 : 11,997.19 = 6,440.81 : x
  2. Step 2: Convert to fraction form
    8,009.29/11,997.19 = 6,440.81/x
  3. Step 3: Cross multiply
    8,009.29x = 11,997.19 × 6,440.81
  4. Step 4: Simplify right side
    8,009.29x = 77,271,621.32
  5. Step 5: Solve for x
    x = 77,271,621.32/8,009.29
  6. Step 6: Final answer
    x = 9,647.75

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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.