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Finding the Fourth Proportional to 7,107.14, 9,807.83 and 3,963.33

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Solution

The fourth proportional to 7,107.14, 9,807.83 and 3,963.33 is: 5,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.14 : 9,807.83 = 3,963.33 : x
  2. Step 2: Convert to fraction form
    7,107.14/9,807.83 = 3,963.33/x
  3. Step 3: Cross multiply
    7,107.14x = 9,807.83 × 3,963.33
  4. Step 4: Simplify right side
    7,107.14x = 38,871,684.21
  5. Step 5: Solve for x
    x = 38,871,684.21/7,107.14
  6. Step 6: Final answer
    x = 5,469.38

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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.