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Finding the Fourth Proportional to 6,171.44, 9,251.69 and 4,717.08

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Solution

The fourth proportional to 6,171.44, 9,251.69 and 4,717.08 is: 7,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.44 : 9,251.69 = 4,717.08 : x
  2. Step 2: Convert to fraction form
    6,171.44/9,251.69 = 4,717.08/x
  3. Step 3: Cross multiply
    6,171.44x = 9,251.69 × 4,717.08
  4. Step 4: Simplify right side
    6,171.44x = 43,640,938.28
  5. Step 5: Solve for x
    x = 43,640,938.28/6,171.44
  6. Step 6: Final answer
    x = 7,071.44

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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.