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Finding the Fourth Proportional to 6,412.27, 8,846.49 and 3,893.42

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Solution

The fourth proportional to 6,412.27, 8,846.49 and 3,893.42 is: 5,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.27 : 8,846.49 = 3,893.42 : x
  2. Step 2: Convert to fraction form
    6,412.27/8,846.49 = 3,893.42/x
  3. Step 3: Cross multiply
    6,412.27x = 8,846.49 × 3,893.42
  4. Step 4: Simplify right side
    6,412.27x = 34,443,137.81
  5. Step 5: Solve for x
    x = 34,443,137.81/6,412.27
  6. Step 6: Final answer
    x = 5,371.44

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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.