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Finding the Fourth Proportional to 6,542.56, 9,814.65 and 2,161.27

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Solution

The fourth proportional to 6,542.56, 9,814.65 and 2,161.27 is: 3,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.56 : 9,814.65 = 2,161.27 : x
  2. Step 2: Convert to fraction form
    6,542.56/9,814.65 = 2,161.27/x
  3. Step 3: Cross multiply
    6,542.56x = 9,814.65 × 2,161.27
  4. Step 4: Simplify right side
    6,542.56x = 21,212,108.61
  5. Step 5: Solve for x
    x = 21,212,108.61/6,542.56
  6. Step 6: Final answer
    x = 3,242.17

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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.