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Finding the Fourth Proportional to 6,107.06, 9,175.17 and 3,920.06

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Solution

The fourth proportional to 6,107.06, 9,175.17 and 3,920.06 is: 5,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.06 : 9,175.17 = 3,920.06 : x
  2. Step 2: Convert to fraction form
    6,107.06/9,175.17 = 3,920.06/x
  3. Step 3: Cross multiply
    6,107.06x = 9,175.17 × 3,920.06
  4. Step 4: Simplify right side
    6,107.06x = 35,967,171.03
  5. Step 5: Solve for x
    x = 35,967,171.03/6,107.06
  6. Step 6: Final answer
    x = 5,889.45

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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.