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Finding the Fourth Proportional to 6,892.25, 9,511.34 and 3,748.44

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Solution

The fourth proportional to 6,892.25, 9,511.34 and 3,748.44 is: 5,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.25 : 9,511.34 = 3,748.44 : x
  2. Step 2: Convert to fraction form
    6,892.25/9,511.34 = 3,748.44/x
  3. Step 3: Cross multiply
    6,892.25x = 9,511.34 × 3,748.44
  4. Step 4: Simplify right side
    6,892.25x = 35,652,687.31
  5. Step 5: Solve for x
    x = 35,652,687.31/6,892.25
  6. Step 6: Final answer
    x = 5,172.87

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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.