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Finding the Fourth Proportional to 6,542.17, 9,028.43 and 3,748.21

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Solution

The fourth proportional to 6,542.17, 9,028.43 and 3,748.21 is: 5,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.17 : 9,028.43 = 3,748.21 : x
  2. Step 2: Convert to fraction form
    6,542.17/9,028.43 = 3,748.21/x
  3. Step 3: Cross multiply
    6,542.17x = 9,028.43 × 3,748.21
  4. Step 4: Simplify right side
    6,542.17x = 33,840,424.35
  5. Step 5: Solve for x
    x = 33,840,424.35/6,542.17
  6. Step 6: Final answer
    x = 5,172.66

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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.