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Finding the Fourth Proportional to 9,737.44, 13,438.91 and 6,383.09

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Solution

The fourth proportional to 9,737.44, 13,438.91 and 6,383.09 is: 8,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.44 : 13,438.91 = 6,383.09 : x
  2. Step 2: Convert to fraction form
    9,737.44/13,438.91 = 6,383.09/x
  3. Step 3: Cross multiply
    9,737.44x = 13,438.91 × 6,383.09
  4. Step 4: Simplify right side
    9,737.44x = 85,781,772.03
  5. Step 5: Solve for x
    x = 85,781,772.03/9,737.44
  6. Step 6: Final answer
    x = 8,809.48

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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.