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Finding the Fourth Proportional to 7,002.20, 9,663.14 and 3,858.38

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Solution

The fourth proportional to 7,002.20, 9,663.14 and 3,858.38 is: 5,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.20 : 9,663.14 = 3,858.38 : x
  2. Step 2: Convert to fraction form
    7,002.20/9,663.14 = 3,858.38/x
  3. Step 3: Cross multiply
    7,002.20x = 9,663.14 × 3,858.38
  4. Step 4: Simplify right side
    7,002.20x = 37,284,099.92
  5. Step 5: Solve for x
    x = 37,284,099.92/7,002.20
  6. Step 6: Final answer
    x = 5,324.63

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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.