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Finding the Fourth Proportional to 6,814.72, 9,404.67 and 4,161.70

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Solution

The fourth proportional to 6,814.72, 9,404.67 and 4,161.70 is: 5,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.72 : 9,404.67 = 4,161.70 : x
  2. Step 2: Convert to fraction form
    6,814.72/9,404.67 = 4,161.70/x
  3. Step 3: Cross multiply
    6,814.72x = 9,404.67 × 4,161.70
  4. Step 4: Simplify right side
    6,814.72x = 39,139,415.14
  5. Step 5: Solve for x
    x = 39,139,415.14/6,814.72
  6. Step 6: Final answer
    x = 5,743.36

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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.