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Finding the Fourth Proportional to 6,741.84, 9,301.55 and 3,757.11

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Solution

The fourth proportional to 6,741.84, 9,301.55 and 3,757.11 is: 5,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.84 : 9,301.55 = 3,757.11 : x
  2. Step 2: Convert to fraction form
    6,741.84/9,301.55 = 3,757.11/x
  3. Step 3: Cross multiply
    6,741.84x = 9,301.55 × 3,757.11
  4. Step 4: Simplify right side
    6,741.84x = 34,946,927.73
  5. Step 5: Solve for x
    x = 34,946,927.73/6,741.84
  6. Step 6: Final answer
    x = 5,183.59

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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.