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Finding the Fourth Proportional to 6,732.09, 9,290.27 and 3,748.18

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Solution

The fourth proportional to 6,732.09, 9,290.27 and 3,748.18 is: 5,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.09 : 9,290.27 = 3,748.18 : x
  2. Step 2: Convert to fraction form
    6,732.09/9,290.27 = 3,748.18/x
  3. Step 3: Cross multiply
    6,732.09x = 9,290.27 × 3,748.18
  4. Step 4: Simplify right side
    6,732.09x = 34,821,636.80
  5. Step 5: Solve for x
    x = 34,821,636.80/6,732.09
  6. Step 6: Final answer
    x = 5,172.49

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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.