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Finding the Fourth Proportional to 8,909.69, 12,286.37 and 5,370.80

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Solution

The fourth proportional to 8,909.69, 12,286.37 and 5,370.80 is: 7,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.69 : 12,286.37 = 5,370.80 : x
  2. Step 2: Convert to fraction form
    8,909.69/12,286.37 = 5,370.80/x
  3. Step 3: Cross multiply
    8,909.69x = 12,286.37 × 5,370.80
  4. Step 4: Simplify right side
    8,909.69x = 65,987,609.14
  5. Step 5: Solve for x
    x = 65,987,609.14/8,909.69
  6. Step 6: Final answer
    x = 7,406.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.