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Finding the Fourth Proportional to 6,814.37, 9,404.70 and 4,161.22

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Solution

The fourth proportional to 6,814.37, 9,404.70 and 4,161.22 is: 5,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.37 : 9,404.70 = 4,161.22 : x
  2. Step 2: Convert to fraction form
    6,814.37/9,404.70 = 4,161.22/x
  3. Step 3: Cross multiply
    6,814.37x = 9,404.70 × 4,161.22
  4. Step 4: Simplify right side
    6,814.37x = 39,135,025.73
  5. Step 5: Solve for x
    x = 39,135,025.73/6,814.37
  6. Step 6: Final answer
    x = 5,743.01

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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.