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Finding the Fourth Proportional to 6,813.27, 9,402.75 and 3,829.23

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Solution

The fourth proportional to 6,813.27, 9,402.75 and 3,829.23 is: 5,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.27 : 9,402.75 = 3,829.23 : x
  2. Step 2: Convert to fraction form
    6,813.27/9,402.75 = 3,829.23/x
  3. Step 3: Cross multiply
    6,813.27x = 9,402.75 × 3,829.23
  4. Step 4: Simplify right side
    6,813.27x = 36,005,292.38
  5. Step 5: Solve for x
    x = 36,005,292.38/6,813.27
  6. Step 6: Final answer
    x = 5,284.58

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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.