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Finding the Fourth Proportional to 9,745.82, 14,616.57 and 3,900.86

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Solution

The fourth proportional to 9,745.82, 14,616.57 and 3,900.86 is: 5,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.82 : 14,616.57 = 3,900.86 : x
  2. Step 2: Convert to fraction form
    9,745.82/14,616.57 = 3,900.86/x
  3. Step 3: Cross multiply
    9,745.82x = 14,616.57 × 3,900.86
  4. Step 4: Simplify right side
    9,745.82x = 57,017,193.25
  5. Step 5: Solve for x
    x = 57,017,193.25/9,745.82
  6. Step 6: Final answer
    x = 5,850.43

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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.