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Finding the Fourth Proportional to 9,951.83, 13,725.46 and 6,172.37

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Solution

The fourth proportional to 9,951.83, 13,725.46 and 6,172.37 is: 8,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.83 : 13,725.46 = 6,172.37 : x
  2. Step 2: Convert to fraction form
    9,951.83/13,725.46 = 6,172.37/x
  3. Step 3: Cross multiply
    9,951.83x = 13,725.46 × 6,172.37
  4. Step 4: Simplify right side
    9,951.83x = 84,718,617.54
  5. Step 5: Solve for x
    x = 84,718,617.54/9,951.83
  6. Step 6: Final answer
    x = 8,512.87

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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.