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Finding the Fourth Proportional to 9,906.72, 13,671.44 and 5,928

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Solution

The fourth proportional to 9,906.72, 13,671.44 and 5,928 is: 8,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.72 : 13,671.44 = 5,928 : x
  2. Step 2: Convert to fraction form
    9,906.72/13,671.44 = 5,928/x
  3. Step 3: Cross multiply
    9,906.72x = 13,671.44 × 5,928
  4. Step 4: Simplify right side
    9,906.72x = 81,044,266.68
  5. Step 5: Solve for x
    x = 81,044,266.68/9,906.72
  6. Step 6: Final answer
    x = 8,180.74

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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.