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Finding the Fourth Proportional to 8,196.69, 12,295.72 and 3,263.64

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Solution

The fourth proportional to 8,196.69, 12,295.72 and 3,263.64 is: 4,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.69 : 12,295.72 = 3,263.64 : x
  2. Step 2: Convert to fraction form
    8,196.69/12,295.72 = 3,263.64/x
  3. Step 3: Cross multiply
    8,196.69x = 12,295.72 × 3,263.64
  4. Step 4: Simplify right side
    8,196.69x = 40,128,839.93
  5. Step 5: Solve for x
    x = 40,128,839.93/8,196.69
  6. Step 6: Final answer
    x = 4,895.73

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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.