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Finding the Fourth Proportional to 9,236.36, 12,745.86 and 5,257.64

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Solution

The fourth proportional to 9,236.36, 12,745.86 and 5,257.64 is: 7,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.36 : 12,745.86 = 5,257.64 : x
  2. Step 2: Convert to fraction form
    9,236.36/12,745.86 = 5,257.64/x
  3. Step 3: Cross multiply
    9,236.36x = 12,745.86 × 5,257.64
  4. Step 4: Simplify right side
    9,236.36x = 67,013,143.37
  5. Step 5: Solve for x
    x = 67,013,143.37/9,236.36
  6. Step 6: Final answer
    x = 7,255.36

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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.