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Finding the Fourth Proportional to 7,171.08, 9,896.57 and 3,984.63

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Solution

The fourth proportional to 7,171.08, 9,896.57 and 3,984.63 is: 5,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.08 : 9,896.57 = 3,984.63 : x
  2. Step 2: Convert to fraction form
    7,171.08/9,896.57 = 3,984.63/x
  3. Step 3: Cross multiply
    7,171.08x = 9,896.57 × 3,984.63
  4. Step 4: Simplify right side
    7,171.08x = 39,434,169.72
  5. Step 5: Solve for x
    x = 39,434,169.72/7,171.08
  6. Step 6: Final answer
    x = 5,499.06

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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.