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Finding the Fourth Proportional to 9,799.38, 13,523.09 and 5,322.98

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Solution

The fourth proportional to 9,799.38, 13,523.09 and 5,322.98 is: 7,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.38 : 13,523.09 = 5,322.98 : x
  2. Step 2: Convert to fraction form
    9,799.38/13,523.09 = 5,322.98/x
  3. Step 3: Cross multiply
    9,799.38x = 13,523.09 × 5,322.98
  4. Step 4: Simplify right side
    9,799.38x = 71,983,144.80
  5. Step 5: Solve for x
    x = 71,983,144.80/9,799.38
  6. Step 6: Final answer
    x = 7,345.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.