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Finding the Fourth Proportional to 8,206.82, 12,305.37 and 6,447.50

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Solution

The fourth proportional to 8,206.82, 12,305.37 and 6,447.50 is: 9,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.82 : 12,305.37 = 6,447.50 : x
  2. Step 2: Convert to fraction form
    8,206.82/12,305.37 = 6,447.50/x
  3. Step 3: Cross multiply
    8,206.82x = 12,305.37 × 6,447.50
  4. Step 4: Simplify right side
    8,206.82x = 79,338,845.60
  5. Step 5: Solve for x
    x = 79,338,845.60/8,206.82
  6. Step 6: Final answer
    x = 9,667.43

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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.