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Finding the Fourth Proportional to 9,198.36, 13,812.80 and 6,215.56

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Solution

The fourth proportional to 9,198.36, 13,812.80 and 6,215.56 is: 9,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.36 : 13,812.80 = 6,215.56 : x
  2. Step 2: Convert to fraction form
    9,198.36/13,812.80 = 6,215.56/x
  3. Step 3: Cross multiply
    9,198.36x = 13,812.80 × 6,215.56
  4. Step 4: Simplify right side
    9,198.36x = 85,854,287.17
  5. Step 5: Solve for x
    x = 85,854,287.17/9,198.36
  6. Step 6: Final answer
    x = 9,333.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.