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Finding the Fourth Proportional to 7,171.44, 9,896.33 and 3,984.69

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Solution

The fourth proportional to 7,171.44, 9,896.33 and 3,984.69 is: 5,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.44 : 9,896.33 = 3,984.69 : x
  2. Step 2: Convert to fraction form
    7,171.44/9,896.33 = 3,984.69/x
  3. Step 3: Cross multiply
    7,171.44x = 9,896.33 × 3,984.69
  4. Step 4: Simplify right side
    7,171.44x = 39,433,831.85
  5. Step 5: Solve for x
    x = 39,433,831.85/7,171.44
  6. Step 6: Final answer
    x = 5,498.74

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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.