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Finding the Fourth Proportional to 6,542.23, 9,028.51 and 3,748.27

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Solution

The fourth proportional to 6,542.23, 9,028.51 and 3,748.27 is: 5,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.23 : 9,028.51 = 3,748.27 : x
  2. Step 2: Convert to fraction form
    6,542.23/9,028.51 = 3,748.27/x
  3. Step 3: Cross multiply
    6,542.23x = 9,028.51 × 3,748.27
  4. Step 4: Simplify right side
    6,542.23x = 33,841,293.18
  5. Step 5: Solve for x
    x = 33,841,293.18/6,542.23
  6. Step 6: Final answer
    x = 5,172.75

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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.