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Finding the Fourth Proportional to 6,546.07, 9,820.73 and 2,163.57

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Solution

The fourth proportional to 6,546.07, 9,820.73 and 2,163.57 is: 3,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.07 : 9,820.73 = 2,163.57 : x
  2. Step 2: Convert to fraction form
    6,546.07/9,820.73 = 2,163.57/x
  3. Step 3: Cross multiply
    6,546.07x = 9,820.73 × 2,163.57
  4. Step 4: Simplify right side
    6,546.07x = 21,247,836.81
  5. Step 5: Solve for x
    x = 21,247,836.81/6,546.07
  6. Step 6: Final answer
    x = 3,245.89

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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.