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Finding the Fourth Proportional to 6,540.11, 9,022.88 and 4,020.20

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Solution

The fourth proportional to 6,540.11, 9,022.88 and 4,020.20 is: 5,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.11 : 9,022.88 = 4,020.20 : x
  2. Step 2: Convert to fraction form
    6,540.11/9,022.88 = 4,020.20/x
  3. Step 3: Cross multiply
    6,540.11x = 9,022.88 × 4,020.20
  4. Step 4: Simplify right side
    6,540.11x = 36,273,762.08
  5. Step 5: Solve for x
    x = 36,273,762.08/6,540.11
  6. Step 6: Final answer
    x = 5,546.35

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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.