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Finding the Fourth Proportional to 9,235.73, 12,745.39 and 5,257.10

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Solution

The fourth proportional to 9,235.73, 12,745.39 and 5,257.10 is: 7,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.73 : 12,745.39 = 5,257.10 : x
  2. Step 2: Convert to fraction form
    9,235.73/12,745.39 = 5,257.10/x
  3. Step 3: Cross multiply
    9,235.73x = 12,745.39 × 5,257.10
  4. Step 4: Simplify right side
    9,235.73x = 67,003,844.22
  5. Step 5: Solve for x
    x = 67,003,844.22/9,235.73
  6. Step 6: Final answer
    x = 7,254.85

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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.