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Finding the Fourth Proportional to 7,196.29, 9,932.28 and 4,052.49

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Solution

The fourth proportional to 7,196.29, 9,932.28 and 4,052.49 is: 5,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.29 : 9,932.28 = 4,052.49 : x
  2. Step 2: Convert to fraction form
    7,196.29/9,932.28 = 4,052.49/x
  3. Step 3: Cross multiply
    7,196.29x = 9,932.28 × 4,052.49
  4. Step 4: Simplify right side
    7,196.29x = 40,250,465.38
  5. Step 5: Solve for x
    x = 40,250,465.38/7,196.29
  6. Step 6: Final answer
    x = 5,593.22

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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.