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Finding the Fourth Proportional to 6,336.56, 9,505.96 and 2,177.01

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Solution

The fourth proportional to 6,336.56, 9,505.96 and 2,177.01 is: 3,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.56 : 9,505.96 = 2,177.01 : x
  2. Step 2: Convert to fraction form
    6,336.56/9,505.96 = 2,177.01/x
  3. Step 3: Cross multiply
    6,336.56x = 9,505.96 × 2,177.01
  4. Step 4: Simplify right side
    6,336.56x = 20,694,564.54
  5. Step 5: Solve for x
    x = 20,694,564.54/6,336.56
  6. Step 6: Final answer
    x = 3,265.90

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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.