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Finding the Fourth Proportional to 9,799.29, 14,695.80 and 3,223.92

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Solution

The fourth proportional to 9,799.29, 14,695.80 and 3,223.92 is: 4,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.29 : 14,695.80 = 3,223.92 : x
  2. Step 2: Convert to fraction form
    9,799.29/14,695.80 = 3,223.92/x
  3. Step 3: Cross multiply
    9,799.29x = 14,695.80 × 3,223.92
  4. Step 4: Simplify right side
    9,799.29x = 47,378,083.54
  5. Step 5: Solve for x
    x = 47,378,083.54/9,799.29
  6. Step 6: Final answer
    x = 4,834.85

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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.