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Finding the Fourth Proportional to 9,796.35, 14,694.84 and 3,223.02

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Solution

The fourth proportional to 9,796.35, 14,694.84 and 3,223.02 is: 4,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.35 : 14,694.84 = 3,223.02 : x
  2. Step 2: Convert to fraction form
    9,796.35/14,694.84 = 3,223.02/x
  3. Step 3: Cross multiply
    9,796.35x = 14,694.84 × 3,223.02
  4. Step 4: Simplify right side
    9,796.35x = 47,361,763.22
  5. Step 5: Solve for x
    x = 47,361,763.22/9,796.35
  6. Step 6: Final answer
    x = 4,834.63

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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.