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Finding the Fourth Proportional to 7,221.23, 9,963.74 and 4,196.90

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Solution

The fourth proportional to 7,221.23, 9,963.74 and 4,196.90 is: 5,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.23 : 9,963.74 = 4,196.90 : x
  2. Step 2: Convert to fraction form
    7,221.23/9,963.74 = 4,196.90/x
  3. Step 3: Cross multiply
    7,221.23x = 9,963.74 × 4,196.90
  4. Step 4: Simplify right side
    7,221.23x = 41,816,749.60
  5. Step 5: Solve for x
    x = 41,816,749.60/7,221.23
  6. Step 6: Final answer
    x = 5,790.81

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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.