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Finding the Fourth Proportional to 6,546.08, 9,757.46 and 6,021.20

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Solution

The fourth proportional to 6,546.08, 9,757.46 and 6,021.20 is: 8,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.08 : 9,757.46 = 6,021.20 : x
  2. Step 2: Convert to fraction form
    6,546.08/9,757.46 = 6,021.20/x
  3. Step 3: Cross multiply
    6,546.08x = 9,757.46 × 6,021.20
  4. Step 4: Simplify right side
    6,546.08x = 58,751,618.15
  5. Step 5: Solve for x
    x = 58,751,618.15/6,546.08
  6. Step 6: Final answer
    x = 8,975.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.