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Finding the Fourth Proportional to 7,196.09, 9,922.41 and 5,865.66

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Solution

The fourth proportional to 7,196.09, 9,922.41 and 5,865.66 is: 8,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.09 : 9,922.41 = 5,865.66 : x
  2. Step 2: Convert to fraction form
    7,196.09/9,922.41 = 5,865.66/x
  3. Step 3: Cross multiply
    7,196.09x = 9,922.41 × 5,865.66
  4. Step 4: Simplify right side
    7,196.09x = 58,201,483.44
  5. Step 5: Solve for x
    x = 58,201,483.44/7,196.09
  6. Step 6: Final answer
    x = 8,087.94

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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.