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Finding the Fourth Proportional to 9,500.02, 14,251.17 and 3,957.12

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Solution

The fourth proportional to 9,500.02, 14,251.17 and 3,957.12 is: 5,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.02 : 14,251.17 = 3,957.12 : x
  2. Step 2: Convert to fraction form
    9,500.02/14,251.17 = 3,957.12/x
  3. Step 3: Cross multiply
    9,500.02x = 14,251.17 × 3,957.12
  4. Step 4: Simplify right side
    9,500.02x = 56,393,604.67
  5. Step 5: Solve for x
    x = 56,393,604.67/9,500.02
  6. Step 6: Final answer
    x = 5,936.16

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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.