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Finding the Fourth Proportional to 7,196.38, 9,930.97 and 4,009.82

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Solution

The fourth proportional to 7,196.38, 9,930.97 and 4,009.82 is: 5,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.38 : 9,930.97 = 4,009.82 : x
  2. Step 2: Convert to fraction form
    7,196.38/9,930.97 = 4,009.82/x
  3. Step 3: Cross multiply
    7,196.38x = 9,930.97 × 4,009.82
  4. Step 4: Simplify right side
    7,196.38x = 39,821,402.13
  5. Step 5: Solve for x
    x = 39,821,402.13/7,196.38
  6. Step 6: Final answer
    x = 5,533.53

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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.