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Finding the Fourth Proportional to 6,545.83, 9,820.28 and 2,163.28

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Solution

The fourth proportional to 6,545.83, 9,820.28 and 2,163.28 is: 3,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.83 : 9,820.28 = 2,163.28 : x
  2. Step 2: Convert to fraction form
    6,545.83/9,820.28 = 2,163.28/x
  3. Step 3: Cross multiply
    6,545.83x = 9,820.28 × 2,163.28
  4. Step 4: Simplify right side
    6,545.83x = 21,244,036.12
  5. Step 5: Solve for x
    x = 21,244,036.12/6,545.83
  6. Step 6: Final answer
    x = 3,245.43

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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.