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Finding the Fourth Proportional to 6,546.45, 9,816.48 and 2,162.46

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Solution

The fourth proportional to 6,546.45, 9,816.48 and 2,162.46 is: 3,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.45 : 9,816.48 = 2,162.46 : x
  2. Step 2: Convert to fraction form
    6,546.45/9,816.48 = 2,162.46/x
  3. Step 3: Cross multiply
    6,546.45x = 9,816.48 × 2,162.46
  4. Step 4: Simplify right side
    6,546.45x = 21,227,745.34
  5. Step 5: Solve for x
    x = 21,227,745.34/6,546.45
  6. Step 6: Final answer
    x = 3,242.63

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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.