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Finding the Fourth Proportional to 9,235.72, 12,745.88 and 5,257.60

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Solution

The fourth proportional to 9,235.72, 12,745.88 and 5,257.60 is: 7,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.72 : 12,745.88 = 5,257.60 : x
  2. Step 2: Convert to fraction form
    9,235.72/12,745.88 = 5,257.60/x
  3. Step 3: Cross multiply
    9,235.72x = 12,745.88 × 5,257.60
  4. Step 4: Simplify right side
    9,235.72x = 67,012,738.69
  5. Step 5: Solve for x
    x = 67,012,738.69/9,235.72
  6. Step 6: Final answer
    x = 7,255.82

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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.