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Finding the Fourth Proportional to 6,892.22, 9,511.26 and 3,748.34

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Solution

The fourth proportional to 6,892.22, 9,511.26 and 3,748.34 is: 5,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.22 : 9,511.26 = 3,748.34 : x
  2. Step 2: Convert to fraction form
    6,892.22/9,511.26 = 3,748.34/x
  3. Step 3: Cross multiply
    6,892.22x = 9,511.26 × 3,748.34
  4. Step 4: Simplify right side
    6,892.22x = 35,651,436.31
  5. Step 5: Solve for x
    x = 35,651,436.31/6,892.22
  6. Step 6: Final answer
    x = 5,172.71

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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.