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Finding the Fourth Proportional to 6,537.66, 9,022.74 and 3,885.07

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Solution

The fourth proportional to 6,537.66, 9,022.74 and 3,885.07 is: 5,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.66 : 9,022.74 = 3,885.07 : x
  2. Step 2: Convert to fraction form
    6,537.66/9,022.74 = 3,885.07/x
  3. Step 3: Cross multiply
    6,537.66x = 9,022.74 × 3,885.07
  4. Step 4: Simplify right side
    6,537.66x = 35,053,976.49
  5. Step 5: Solve for x
    x = 35,053,976.49/6,537.66
  6. Step 6: Final answer
    x = 5,361.85

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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.