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Finding the Fourth Proportional to 6,715.92, 9,268.28 and 3,732.05

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Solution

The fourth proportional to 6,715.92, 9,268.28 and 3,732.05 is: 5,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.92 : 9,268.28 = 3,732.05 : x
  2. Step 2: Convert to fraction form
    6,715.92/9,268.28 = 3,732.05/x
  3. Step 3: Cross multiply
    6,715.92x = 9,268.28 × 3,732.05
  4. Step 4: Simplify right side
    6,715.92x = 34,589,619.37
  5. Step 5: Solve for x
    x = 34,589,619.37/6,715.92
  6. Step 6: Final answer
    x = 5,150.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.