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Finding the Fourth Proportional to 7,171.03, 9,896.72 and 4,146.28

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Solution

The fourth proportional to 7,171.03, 9,896.72 and 4,146.28 is: 5,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.03 : 9,896.72 = 4,146.28 : x
  2. Step 2: Convert to fraction form
    7,171.03/9,896.72 = 4,146.28/x
  3. Step 3: Cross multiply
    7,171.03x = 9,896.72 × 4,146.28
  4. Step 4: Simplify right side
    7,171.03x = 41,034,550.05
  5. Step 5: Solve for x
    x = 41,034,550.05/7,171.03
  6. Step 6: Final answer
    x = 5,722.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.