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Finding the Fourth Proportional to 7,188.96, 9,923.44 and 4,205.73

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Solution

The fourth proportional to 7,188.96, 9,923.44 and 4,205.73 is: 5,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.96 : 9,923.44 = 4,205.73 : x
  2. Step 2: Convert to fraction form
    7,188.96/9,923.44 = 4,205.73/x
  3. Step 3: Cross multiply
    7,188.96x = 9,923.44 × 4,205.73
  4. Step 4: Simplify right side
    7,188.96x = 41,735,309.31
  5. Step 5: Solve for x
    x = 41,735,309.31/7,188.96
  6. Step 6: Final answer
    x = 5,805.47

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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.