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Finding the Fourth Proportional to 6,945.62, 9,584.99 and 3,801.81

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Solution

The fourth proportional to 6,945.62, 9,584.99 and 3,801.81 is: 5,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.62 : 9,584.99 = 3,801.81 : x
  2. Step 2: Convert to fraction form
    6,945.62/9,584.99 = 3,801.81/x
  3. Step 3: Cross multiply
    6,945.62x = 9,584.99 × 3,801.81
  4. Step 4: Simplify right side
    6,945.62x = 36,440,262.91
  5. Step 5: Solve for x
    x = 36,440,262.91/6,945.62
  6. Step 6: Final answer
    x = 5,246.51

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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.