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Finding the Fourth Proportional to 6,663.38, 9,196.27 and 3,868.88

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Solution

The fourth proportional to 6,663.38, 9,196.27 and 3,868.88 is: 5,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.38 : 9,196.27 = 3,868.88 : x
  2. Step 2: Convert to fraction form
    6,663.38/9,196.27 = 3,868.88/x
  3. Step 3: Cross multiply
    6,663.38x = 9,196.27 × 3,868.88
  4. Step 4: Simplify right side
    6,663.38x = 35,579,209.42
  5. Step 5: Solve for x
    x = 35,579,209.42/6,663.38
  6. Step 6: Final answer
    x = 5,339.52

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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.