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Finding the Fourth Proportional to 9,496.31, 14,252.22 and 6,725.70

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Solution

The fourth proportional to 9,496.31, 14,252.22 and 6,725.70 is: 10,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.31 : 14,252.22 = 6,725.70 : x
  2. Step 2: Convert to fraction form
    9,496.31/14,252.22 = 6,725.70/x
  3. Step 3: Cross multiply
    9,496.31x = 14,252.22 × 6,725.70
  4. Step 4: Simplify right side
    9,496.31x = 95,856,156.05
  5. Step 5: Solve for x
    x = 95,856,156.05/9,496.31
  6. Step 6: Final answer
    x = 10,094.05

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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.