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Finding the Fourth Proportional to 6,911.53, 9,537.96 and 3,767.74

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Solution

The fourth proportional to 6,911.53, 9,537.96 and 3,767.74 is: 5,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.53 : 9,537.96 = 3,767.74 : x
  2. Step 2: Convert to fraction form
    6,911.53/9,537.96 = 3,767.74/x
  3. Step 3: Cross multiply
    6,911.53x = 9,537.96 × 3,767.74
  4. Step 4: Simplify right side
    6,911.53x = 35,936,553.41
  5. Step 5: Solve for x
    x = 35,936,553.41/6,911.53
  6. Step 6: Final answer
    x = 5,199.51

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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.