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Finding the Fourth Proportional to 6,393.14, 9,592.08 and 2,882.08

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Solution

The fourth proportional to 6,393.14, 9,592.08 and 2,882.08 is: 4,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.14 : 9,592.08 = 2,882.08 : x
  2. Step 2: Convert to fraction form
    6,393.14/9,592.08 = 2,882.08/x
  3. Step 3: Cross multiply
    6,393.14x = 9,592.08 × 2,882.08
  4. Step 4: Simplify right side
    6,393.14x = 27,645,141.93
  5. Step 5: Solve for x
    x = 27,645,141.93/6,393.14
  6. Step 6: Final answer
    x = 4,324.19

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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.