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Finding the Fourth Proportional to 9,233.72, 12,745.26 and 6,440.12

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Solution

The fourth proportional to 9,233.72, 12,745.26 and 6,440.12 is: 8,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.72 : 12,745.26 = 6,440.12 : x
  2. Step 2: Convert to fraction form
    9,233.72/12,745.26 = 6,440.12/x
  3. Step 3: Cross multiply
    9,233.72x = 12,745.26 × 6,440.12
  4. Step 4: Simplify right side
    9,233.72x = 82,081,003.83
  5. Step 5: Solve for x
    x = 82,081,003.83/9,233.72
  6. Step 6: Final answer
    x = 8,889.27

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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.