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Finding the Fourth Proportional to 8,974.26, 12,384.37 and 5,198.64

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Solution

The fourth proportional to 8,974.26, 12,384.37 and 5,198.64 is: 7,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.26 : 12,384.37 = 5,198.64 : x
  2. Step 2: Convert to fraction form
    8,974.26/12,384.37 = 5,198.64/x
  3. Step 3: Cross multiply
    8,974.26x = 12,384.37 × 5,198.64
  4. Step 4: Simplify right side
    8,974.26x = 64,381,881.26
  5. Step 5: Solve for x
    x = 64,381,881.26/8,974.26
  6. Step 6: Final answer
    x = 7,174.06

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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.