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Finding the Fourth Proportional to 9,795.44, 14,694.98 and 3,221.88

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Solution

The fourth proportional to 9,795.44, 14,694.98 and 3,221.88 is: 4,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.44 : 14,694.98 = 3,221.88 : x
  2. Step 2: Convert to fraction form
    9,795.44/14,694.98 = 3,221.88/x
  3. Step 3: Cross multiply
    9,795.44x = 14,694.98 × 3,221.88
  4. Step 4: Simplify right side
    9,795.44x = 47,345,462.16
  5. Step 5: Solve for x
    x = 47,345,462.16/9,795.44
  6. Step 6: Final answer
    x = 4,833.42

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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.