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Finding the Fourth Proportional to 9,198.31, 12,693.29 and 5,219.34

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Solution

The fourth proportional to 9,198.31, 12,693.29 and 5,219.34 is: 7,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.31 : 12,693.29 = 5,219.34 : x
  2. Step 2: Convert to fraction form
    9,198.31/12,693.29 = 5,219.34/x
  3. Step 3: Cross multiply
    9,198.31x = 12,693.29 × 5,219.34
  4. Step 4: Simplify right side
    9,198.31x = 66,250,551.89
  5. Step 5: Solve for x
    x = 66,250,551.89/9,198.31
  6. Step 6: Final answer
    x = 7,202.47

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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.