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Finding the Fourth Proportional to 9,198.20, 13,720.79 and 8,312.44

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Solution

The fourth proportional to 9,198.20, 13,720.79 and 8,312.44 is: 12,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.20 : 13,720.79 = 8,312.44 : x
  2. Step 2: Convert to fraction form
    9,198.20/13,720.79 = 8,312.44/x
  3. Step 3: Cross multiply
    9,198.20x = 13,720.79 × 8,312.44
  4. Step 4: Simplify right side
    9,198.20x = 114,053,243.63
  5. Step 5: Solve for x
    x = 114,053,243.63/9,198.20
  6. Step 6: Final answer
    x = 12,399.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.