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Finding the Fourth Proportional to 8,009.57, 12,014.36 and 2,814.23

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Solution

The fourth proportional to 8,009.57, 12,014.36 and 2,814.23 is: 4,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.57 : 12,014.36 = 2,814.23 : x
  2. Step 2: Convert to fraction form
    8,009.57/12,014.36 = 2,814.23/x
  3. Step 3: Cross multiply
    8,009.57x = 12,014.36 × 2,814.23
  4. Step 4: Simplify right side
    8,009.57x = 33,811,098.20
  5. Step 5: Solve for x
    x = 33,811,098.20/8,009.57
  6. Step 6: Final answer
    x = 4,221.34

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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.