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Finding the Fourth Proportional to 6,338.20, 8,728.70 and 6,202.52

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Solution

The fourth proportional to 6,338.20, 8,728.70 and 6,202.52 is: 8,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.20 : 8,728.70 = 6,202.52 : x
  2. Step 2: Convert to fraction form
    6,338.20/8,728.70 = 6,202.52/x
  3. Step 3: Cross multiply
    6,338.20x = 8,728.70 × 6,202.52
  4. Step 4: Simplify right side
    6,338.20x = 54,139,936.32
  5. Step 5: Solve for x
    x = 54,139,936.32/6,338.20
  6. Step 6: Final answer
    x = 8,541.85

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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.