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Finding the Fourth Proportional to 8,287.69, 12,414.25 and 3,673.93

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Solution

The fourth proportional to 8,287.69, 12,414.25 and 3,673.93 is: 5,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.69 : 12,414.25 = 3,673.93 : x
  2. Step 2: Convert to fraction form
    8,287.69/12,414.25 = 3,673.93/x
  3. Step 3: Cross multiply
    8,287.69x = 12,414.25 × 3,673.93
  4. Step 4: Simplify right side
    8,287.69x = 45,609,014.25
  5. Step 5: Solve for x
    x = 45,609,014.25/8,287.69
  6. Step 6: Final answer
    x = 5,503.23

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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.