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Finding the Fourth Proportional to 6,911.56, 9,537.84 and 3,767.74

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Solution

The fourth proportional to 6,911.56, 9,537.84 and 3,767.74 is: 5,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.56 : 9,537.84 = 3,767.74 : x
  2. Step 2: Convert to fraction form
    6,911.56/9,537.84 = 3,767.74/x
  3. Step 3: Cross multiply
    6,911.56x = 9,537.84 × 3,767.74
  4. Step 4: Simplify right side
    6,911.56x = 35,936,101.28
  5. Step 5: Solve for x
    x = 35,936,101.28/6,911.56
  6. Step 6: Final answer
    x = 5,199.42

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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.