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Finding the Fourth Proportional to 7,135.69, 9,847.26 and 3,991.88

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Solution

The fourth proportional to 7,135.69, 9,847.26 and 3,991.88 is: 5,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.69 : 9,847.26 = 3,991.88 : x
  2. Step 2: Convert to fraction form
    7,135.69/9,847.26 = 3,991.88/x
  3. Step 3: Cross multiply
    7,135.69x = 9,847.26 × 3,991.88
  4. Step 4: Simplify right side
    7,135.69x = 39,309,080.25
  5. Step 5: Solve for x
    x = 39,309,080.25/7,135.69
  6. Step 6: Final answer
    x = 5,508.80

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Why These Related Problems?

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