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Finding the Fourth Proportional to 7,002.14, 9,662.97 and 3,858.38

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Solution

The fourth proportional to 7,002.14, 9,662.97 and 3,858.38 is: 5,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.14 : 9,662.97 = 3,858.38 : x
  2. Step 2: Convert to fraction form
    7,002.14/9,662.97 = 3,858.38/x
  3. Step 3: Cross multiply
    7,002.14x = 9,662.97 × 3,858.38
  4. Step 4: Simplify right side
    7,002.14x = 37,283,410.19
  5. Step 5: Solve for x
    x = 37,283,410.19/7,002.14
  6. Step 6: Final answer
    x = 5,324.57

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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.