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Finding the Fourth Proportional to 9,512.54, 14,269.12 and 3,272.48

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Solution

The fourth proportional to 9,512.54, 14,269.12 and 3,272.48 is: 4,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.54 : 14,269.12 = 3,272.48 : x
  2. Step 2: Convert to fraction form
    9,512.54/14,269.12 = 3,272.48/x
  3. Step 3: Cross multiply
    9,512.54x = 14,269.12 × 3,272.48
  4. Step 4: Simplify right side
    9,512.54x = 46,695,409.82
  5. Step 5: Solve for x
    x = 46,695,409.82/9,512.54
  6. Step 6: Final answer
    x = 4,908.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.