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Finding the Fourth Proportional to 9,737.24, 13,436.43 and 5,961.47

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Solution

The fourth proportional to 9,737.24, 13,436.43 and 5,961.47 is: 8,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.24 : 13,436.43 = 5,961.47 : x
  2. Step 2: Convert to fraction form
    9,737.24/13,436.43 = 5,961.47/x
  3. Step 3: Cross multiply
    9,737.24x = 13,436.43 × 5,961.47
  4. Step 4: Simplify right side
    9,737.24x = 80,100,874.35
  5. Step 5: Solve for x
    x = 80,100,874.35/9,737.24
  6. Step 6: Final answer
    x = 8,226.24

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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.