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Finding the Fourth Proportional to 6,221.80, 8,814.22 and 6,221.80

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Solution

The fourth proportional to 6,221.80, 8,814.22 and 6,221.80 is: 8,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.80 : 8,814.22 = 6,221.80 : x
  2. Step 2: Convert to fraction form
    6,221.80/8,814.22 = 6,221.80/x
  3. Step 3: Cross multiply
    6,221.80x = 8,814.22 × 6,221.80
  4. Step 4: Simplify right side
    6,221.80x = 54,840,314.00
  5. Step 5: Solve for x
    x = 54,840,314.00/6,221.80
  6. Step 6: Final answer
    x = 8,814.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.