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Finding the Fourth Proportional to 6,878.29, 9,491.46 and 3,893.44

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Solution

The fourth proportional to 6,878.29, 9,491.46 and 3,893.44 is: 5,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.29 : 9,491.46 = 3,893.44 : x
  2. Step 2: Convert to fraction form
    6,878.29/9,491.46 = 3,893.44/x
  3. Step 3: Cross multiply
    6,878.29x = 9,491.46 × 3,893.44
  4. Step 4: Simplify right side
    6,878.29x = 36,954,430.02
  5. Step 5: Solve for x
    x = 36,954,430.02/6,878.29
  6. Step 6: Final answer
    x = 5,372.62

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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.