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Finding the Fourth Proportional to 6,545.54, 9,816.90 and 2,161.96

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Solution

The fourth proportional to 6,545.54, 9,816.90 and 2,161.96 is: 3,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.54 : 9,816.90 = 2,161.96 : x
  2. Step 2: Convert to fraction form
    6,545.54/9,816.90 = 2,161.96/x
  3. Step 3: Cross multiply
    6,545.54x = 9,816.90 × 2,161.96
  4. Step 4: Simplify right side
    6,545.54x = 21,223,745.12
  5. Step 5: Solve for x
    x = 21,223,745.12/6,545.54
  6. Step 6: Final answer
    x = 3,242.47

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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.