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Finding the Fourth Proportional to 9,843.70, 14,761.11 and 2,822.11

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Solution

The fourth proportional to 9,843.70, 14,761.11 and 2,822.11 is: 4,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.70 : 14,761.11 = 2,822.11 : x
  2. Step 2: Convert to fraction form
    9,843.70/14,761.11 = 2,822.11/x
  3. Step 3: Cross multiply
    9,843.70x = 14,761.11 × 2,822.11
  4. Step 4: Simplify right side
    9,843.70x = 41,657,476.14
  5. Step 5: Solve for x
    x = 41,657,476.14/9,843.70
  6. Step 6: Final answer
    x = 4,231.89

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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.