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Finding the Fourth Proportional to 6,221.27, 9,311.56 and 3,405.87

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Solution

The fourth proportional to 6,221.27, 9,311.56 and 3,405.87 is: 5,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.27 : 9,311.56 = 3,405.87 : x
  2. Step 2: Convert to fraction form
    6,221.27/9,311.56 = 3,405.87/x
  3. Step 3: Cross multiply
    6,221.27x = 9,311.56 × 3,405.87
  4. Step 4: Simplify right side
    6,221.27x = 31,713,945.83
  5. Step 5: Solve for x
    x = 31,713,945.83/6,221.27
  6. Step 6: Final answer
    x = 5,097.66

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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.