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Finding the Fourth Proportional to 6,715.66, 9,268.20 and 3,732.10

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Solution

The fourth proportional to 6,715.66, 9,268.20 and 3,732.10 is: 5,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.66 : 9,268.20 = 3,732.10 : x
  2. Step 2: Convert to fraction form
    6,715.66/9,268.20 = 3,732.10/x
  3. Step 3: Cross multiply
    6,715.66x = 9,268.20 × 3,732.10
  4. Step 4: Simplify right side
    6,715.66x = 34,589,849.22
  5. Step 5: Solve for x
    x = 34,589,849.22/6,715.66
  6. Step 6: Final answer
    x = 5,150.63

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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.