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Finding the Fourth Proportional to 9,889.57, 13,647.60 and 6,745.75

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Solution

The fourth proportional to 9,889.57, 13,647.60 and 6,745.75 is: 9,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.57 : 13,647.60 = 6,745.75 : x
  2. Step 2: Convert to fraction form
    9,889.57/13,647.60 = 6,745.75/x
  3. Step 3: Cross multiply
    9,889.57x = 13,647.60 × 6,745.75
  4. Step 4: Simplify right side
    9,889.57x = 92,063,297.70
  5. Step 5: Solve for x
    x = 92,063,297.70/9,889.57
  6. Step 6: Final answer
    x = 9,309.13

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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.