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Finding the Fourth Proportional to 6,887.91, 9,505.36 and 3,744.09

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Solution

The fourth proportional to 6,887.91, 9,505.36 and 3,744.09 is: 5,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.91 : 9,505.36 = 3,744.09 : x
  2. Step 2: Convert to fraction form
    6,887.91/9,505.36 = 3,744.09/x
  3. Step 3: Cross multiply
    6,887.91x = 9,505.36 × 3,744.09
  4. Step 4: Simplify right side
    6,887.91x = 35,588,923.32
  5. Step 5: Solve for x
    x = 35,588,923.32/6,887.91
  6. Step 6: Final answer
    x = 5,166.87

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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.