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Finding the Fourth Proportional to 6,862.05, 9,469.76 and 4,208.49

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Solution

The fourth proportional to 6,862.05, 9,469.76 and 4,208.49 is: 5,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.05 : 9,469.76 = 4,208.49 : x
  2. Step 2: Convert to fraction form
    6,862.05/9,469.76 = 4,208.49/x
  3. Step 3: Cross multiply
    6,862.05x = 9,469.76 × 4,208.49
  4. Step 4: Simplify right side
    6,862.05x = 39,853,369.22
  5. Step 5: Solve for x
    x = 39,853,369.22/6,862.05
  6. Step 6: Final answer
    x = 5,807.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.