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Finding the Fourth Proportional to 9,195.21, 12,691.99 and 5,420.56

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Solution

The fourth proportional to 9,195.21, 12,691.99 and 5,420.56 is: 7,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.21 : 12,691.99 = 5,420.56 : x
  2. Step 2: Convert to fraction form
    9,195.21/12,691.99 = 5,420.56/x
  3. Step 3: Cross multiply
    9,195.21x = 12,691.99 × 5,420.56
  4. Step 4: Simplify right side
    9,195.21x = 68,797,693.31
  5. Step 5: Solve for x
    x = 68,797,693.31/9,195.21
  6. Step 6: Final answer
    x = 7,481.91

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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.