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Finding the Fourth Proportional to 6,512.22, 9,759.90 and 4,171.32

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Solution

The fourth proportional to 6,512.22, 9,759.90 and 4,171.32 is: 6,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.22 : 9,759.90 = 4,171.32 : x
  2. Step 2: Convert to fraction form
    6,512.22/9,759.90 = 4,171.32/x
  3. Step 3: Cross multiply
    6,512.22x = 9,759.90 × 4,171.32
  4. Step 4: Simplify right side
    6,512.22x = 40,711,666.07
  5. Step 5: Solve for x
    x = 40,711,666.07/6,512.22
  6. Step 6: Final answer
    x = 6,251.58

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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.