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Finding the Fourth Proportional to 7,198.23, 9,930.16 and 4,212.21

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Solution

The fourth proportional to 7,198.23, 9,930.16 and 4,212.21 is: 5,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.23 : 9,930.16 = 4,212.21 : x
  2. Step 2: Convert to fraction form
    7,198.23/9,930.16 = 4,212.21/x
  3. Step 3: Cross multiply
    7,198.23x = 9,930.16 × 4,212.21
  4. Step 4: Simplify right side
    7,198.23x = 41,827,910.13
  5. Step 5: Solve for x
    x = 41,827,910.13/7,198.23
  6. Step 6: Final answer
    x = 5,810.86

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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.