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Finding the Fourth Proportional to 9,226.97, 13,817.30 and 5,702.49

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Solution

The fourth proportional to 9,226.97, 13,817.30 and 5,702.49 is: 8,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.97 : 13,817.30 = 5,702.49 : x
  2. Step 2: Convert to fraction form
    9,226.97/13,817.30 = 5,702.49/x
  3. Step 3: Cross multiply
    9,226.97x = 13,817.30 × 5,702.49
  4. Step 4: Simplify right side
    9,226.97x = 78,792,986.56
  5. Step 5: Solve for x
    x = 78,792,986.56/9,226.97
  6. Step 6: Final answer
    x = 8,539.43

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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.