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Finding the Fourth Proportional to 8,162.06, 12,223.64 and 6,299.60

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Solution

The fourth proportional to 8,162.06, 12,223.64 and 6,299.60 is: 9,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.06 : 12,223.64 = 6,299.60 : x
  2. Step 2: Convert to fraction form
    8,162.06/12,223.64 = 6,299.60/x
  3. Step 3: Cross multiply
    8,162.06x = 12,223.64 × 6,299.60
  4. Step 4: Simplify right side
    8,162.06x = 77,004,042.54
  5. Step 5: Solve for x
    x = 77,004,042.54/8,162.06
  6. Step 6: Final answer
    x = 9,434.39

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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.