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Finding the Fourth Proportional to 9,614.25, 13,267.67 and 5,198.25

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Solution

The fourth proportional to 9,614.25, 13,267.67 and 5,198.25 is: 7,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.25 : 13,267.67 = 5,198.25 : x
  2. Step 2: Convert to fraction form
    9,614.25/13,267.67 = 5,198.25/x
  3. Step 3: Cross multiply
    9,614.25x = 13,267.67 × 5,198.25
  4. Step 4: Simplify right side
    9,614.25x = 68,968,639.59
  5. Step 5: Solve for x
    x = 68,968,639.59/9,614.25
  6. Step 6: Final answer
    x = 7,173.59

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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.