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Finding the Fourth Proportional to 9,796.29, 14,691.29 and 3,220.94

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Solution

The fourth proportional to 9,796.29, 14,691.29 and 3,220.94 is: 4,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.29 : 14,691.29 = 3,220.94 : x
  2. Step 2: Convert to fraction form
    9,796.29/14,691.29 = 3,220.94/x
  3. Step 3: Cross multiply
    9,796.29x = 14,691.29 × 3,220.94
  4. Step 4: Simplify right side
    9,796.29x = 47,319,674.05
  5. Step 5: Solve for x
    x = 47,319,674.05/9,796.29
  6. Step 6: Final answer
    x = 4,830.37

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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.