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Finding the Fourth Proportional to 8,996.29, 12,410.34 and 6,016.09

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Solution

The fourth proportional to 8,996.29, 12,410.34 and 6,016.09 is: 8,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.29 : 12,410.34 = 6,016.09 : x
  2. Step 2: Convert to fraction form
    8,996.29/12,410.34 = 6,016.09/x
  3. Step 3: Cross multiply
    8,996.29x = 12,410.34 × 6,016.09
  4. Step 4: Simplify right side
    8,996.29x = 74,661,722.37
  5. Step 5: Solve for x
    x = 74,661,722.37/8,996.29
  6. Step 6: Final answer
    x = 8,299.17

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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.