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Finding the Fourth Proportional to 9,795.80, 14,694.17 and 3,221.84

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Solution

The fourth proportional to 9,795.80, 14,694.17 and 3,221.84 is: 4,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.80 : 14,694.17 = 3,221.84 : x
  2. Step 2: Convert to fraction form
    9,795.80/14,694.17 = 3,221.84/x
  3. Step 3: Cross multiply
    9,795.80x = 14,694.17 × 3,221.84
  4. Step 4: Simplify right side
    9,795.80x = 47,342,264.67
  5. Step 5: Solve for x
    x = 47,342,264.67/9,795.80
  6. Step 6: Final answer
    x = 4,832.91

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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.