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Finding the Fourth Proportional to 6,564.82, 9,059.42 and 3,912.26

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Solution

The fourth proportional to 6,564.82, 9,059.42 and 3,912.26 is: 5,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.82 : 9,059.42 = 3,912.26 : x
  2. Step 2: Convert to fraction form
    6,564.82/9,059.42 = 3,912.26/x
  3. Step 3: Cross multiply
    6,564.82x = 9,059.42 × 3,912.26
  4. Step 4: Simplify right side
    6,564.82x = 35,442,806.49
  5. Step 5: Solve for x
    x = 35,442,806.49/6,564.82
  6. Step 6: Final answer
    x = 5,398.90

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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.