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Finding the Fourth Proportional to 8,009.79, 11,997.93 and 6,441.30

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Solution

The fourth proportional to 8,009.79, 11,997.93 and 6,441.30 is: 9,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.79 : 11,997.93 = 6,441.30 : x
  2. Step 2: Convert to fraction form
    8,009.79/11,997.93 = 6,441.30/x
  3. Step 3: Cross multiply
    8,009.79x = 11,997.93 × 6,441.30
  4. Step 4: Simplify right side
    8,009.79x = 77,282,266.51
  5. Step 5: Solve for x
    x = 77,282,266.51/8,009.79
  6. Step 6: Final answer
    x = 9,648.48

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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.