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Finding the Fourth Proportional to 6,761.15, 9,329.92 and 3,736.14

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Solution

The fourth proportional to 6,761.15, 9,329.92 and 3,736.14 is: 5,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.15 : 9,329.92 = 3,736.14 : x
  2. Step 2: Convert to fraction form
    6,761.15/9,329.92 = 3,736.14/x
  3. Step 3: Cross multiply
    6,761.15x = 9,329.92 × 3,736.14
  4. Step 4: Simplify right side
    6,761.15x = 34,857,887.31
  5. Step 5: Solve for x
    x = 34,857,887.31/6,761.15
  6. Step 6: Final answer
    x = 5,155.62

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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.