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Finding the Fourth Proportional to 6,814.30, 9,405.39 and 4,163.94

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Solution

The fourth proportional to 6,814.30, 9,405.39 and 4,163.94 is: 5,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.30 : 9,405.39 = 4,163.94 : x
  2. Step 2: Convert to fraction form
    6,814.30/9,405.39 = 4,163.94/x
  3. Step 3: Cross multiply
    6,814.30x = 9,405.39 × 4,163.94
  4. Step 4: Simplify right side
    6,814.30x = 39,163,479.64
  5. Step 5: Solve for x
    x = 39,163,479.64/6,814.30
  6. Step 6: Final answer
    x = 5,747.25

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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.