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Finding the Fourth Proportional to 6,662.29, 9,992.49 and 4,189.54

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Solution

The fourth proportional to 6,662.29, 9,992.49 and 4,189.54 is: 6,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.29 : 9,992.49 = 4,189.54 : x
  2. Step 2: Convert to fraction form
    6,662.29/9,992.49 = 4,189.54/x
  3. Step 3: Cross multiply
    6,662.29x = 9,992.49 × 4,189.54
  4. Step 4: Simplify right side
    6,662.29x = 41,863,936.55
  5. Step 5: Solve for x
    x = 41,863,936.55/6,662.29
  6. Step 6: Final answer
    x = 6,283.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.