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Finding the Fourth Proportional to 9,843.96, 14,764.54 and 2,824.56

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Solution

The fourth proportional to 9,843.96, 14,764.54 and 2,824.56 is: 4,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.96 : 14,764.54 = 2,824.56 : x
  2. Step 2: Convert to fraction form
    9,843.96/14,764.54 = 2,824.56/x
  3. Step 3: Cross multiply
    9,843.96x = 14,764.54 × 2,824.56
  4. Step 4: Simplify right side
    9,843.96x = 41,703,329.10
  5. Step 5: Solve for x
    x = 41,703,329.10/9,843.96
  6. Step 6: Final answer
    x = 4,236.44

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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.