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Finding the Fourth Proportional to 6,814.79, 9,404.66 and 4,163.39

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Solution

The fourth proportional to 6,814.79, 9,404.66 and 4,163.39 is: 5,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.79 : 9,404.66 = 4,163.39 : x
  2. Step 2: Convert to fraction form
    6,814.79/9,404.66 = 4,163.39/x
  3. Step 3: Cross multiply
    6,814.79x = 9,404.66 × 4,163.39
  4. Step 4: Simplify right side
    6,814.79x = 39,155,267.40
  5. Step 5: Solve for x
    x = 39,155,267.40/6,814.79
  6. Step 6: Final answer
    x = 5,745.63

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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.