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Finding the Fourth Proportional to 6,895.73, 9,516.18 and 3,751.92

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Solution

The fourth proportional to 6,895.73, 9,516.18 and 3,751.92 is: 5,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.73 : 9,516.18 = 3,751.92 : x
  2. Step 2: Convert to fraction form
    6,895.73/9,516.18 = 3,751.92/x
  3. Step 3: Cross multiply
    6,895.73x = 9,516.18 × 3,751.92
  4. Step 4: Simplify right side
    6,895.73x = 35,703,960.14
  5. Step 5: Solve for x
    x = 35,703,960.14/6,895.73
  6. Step 6: Final answer
    x = 5,177.69

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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.