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Finding the Fourth Proportional to 9,957.61, 14,936.42 and 3,717.37

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Solution

The fourth proportional to 9,957.61, 14,936.42 and 3,717.37 is: 5,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.61 : 14,936.42 = 3,717.37 : x
  2. Step 2: Convert to fraction form
    9,957.61/14,936.42 = 3,717.37/x
  3. Step 3: Cross multiply
    9,957.61x = 14,936.42 × 3,717.37
  4. Step 4: Simplify right side
    9,957.61x = 55,524,199.62
  5. Step 5: Solve for x
    x = 55,524,199.62/9,957.61
  6. Step 6: Final answer
    x = 5,576.06

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Why These Related Problems?

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