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Finding the Fourth Proportional to 9,845.82, 14,770.49 and 3,759.82

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Solution

The fourth proportional to 9,845.82, 14,770.49 and 3,759.82 is: 5,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.82 : 14,770.49 = 3,759.82 : x
  2. Step 2: Convert to fraction form
    9,845.82/14,770.49 = 3,759.82/x
  3. Step 3: Cross multiply
    9,845.82x = 14,770.49 × 3,759.82
  4. Step 4: Simplify right side
    9,845.82x = 55,534,327.99
  5. Step 5: Solve for x
    x = 55,534,327.99/9,845.82
  6. Step 6: Final answer
    x = 5,640.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.