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Finding the Fourth Proportional to 9,957.96, 14,936.94 and 4,108.14

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Solution

The fourth proportional to 9,957.96, 14,936.94 and 4,108.14 is: 6,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.96 : 14,936.94 = 4,108.14 : x
  2. Step 2: Convert to fraction form
    9,957.96/14,936.94 = 4,108.14/x
  3. Step 3: Cross multiply
    9,957.96x = 14,936.94 × 4,108.14
  4. Step 4: Simplify right side
    9,957.96x = 61,363,040.69
  5. Step 5: Solve for x
    x = 61,363,040.69/9,957.96
  6. Step 6: Final answer
    x = 6,162.21

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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.