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Finding the Fourth Proportional to 6,542.04, 9,028.62 and 3,747

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Solution

The fourth proportional to 6,542.04, 9,028.62 and 3,747 is: 5,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.04 : 9,028.62 = 3,747 : x
  2. Step 2: Convert to fraction form
    6,542.04/9,028.62 = 3,747/x
  3. Step 3: Cross multiply
    6,542.04x = 9,028.62 × 3,747
  4. Step 4: Simplify right side
    6,542.04x = 33,830,239.14
  5. Step 5: Solve for x
    x = 33,830,239.14/6,542.04
  6. Step 6: Final answer
    x = 5,171.21

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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.