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Finding the Fourth Proportional to 9,745.44, 14,626.53 and 3,906.06

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Solution

The fourth proportional to 9,745.44, 14,626.53 and 3,906.06 is: 5,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.44 : 14,626.53 = 3,906.06 : x
  2. Step 2: Convert to fraction form
    9,745.44/14,626.53 = 3,906.06/x
  3. Step 3: Cross multiply
    9,745.44x = 14,626.53 × 3,906.06
  4. Step 4: Simplify right side
    9,745.44x = 57,132,103.77
  5. Step 5: Solve for x
    x = 57,132,103.77/9,745.44
  6. Step 6: Final answer
    x = 5,862.44

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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.