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Finding the Fourth Proportional to 6,732.01, 9,290.07 and 3,748.09

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Solution

The fourth proportional to 6,732.01, 9,290.07 and 3,748.09 is: 5,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.01 : 9,290.07 = 3,748.09 : x
  2. Step 2: Convert to fraction form
    6,732.01/9,290.07 = 3,748.09/x
  3. Step 3: Cross multiply
    6,732.01x = 9,290.07 × 3,748.09
  4. Step 4: Simplify right side
    6,732.01x = 34,820,018.47
  5. Step 5: Solve for x
    x = 34,820,018.47/6,732.01
  6. Step 6: Final answer
    x = 5,172.31

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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.