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Finding the Fourth Proportional to 9,937.91, 14,906.79 and 2,542.35

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Solution

The fourth proportional to 9,937.91, 14,906.79 and 2,542.35 is: 3,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.91 : 14,906.79 = 2,542.35 : x
  2. Step 2: Convert to fraction form
    9,937.91/14,906.79 = 2,542.35/x
  3. Step 3: Cross multiply
    9,937.91x = 14,906.79 × 2,542.35
  4. Step 4: Simplify right side
    9,937.91x = 37,898,277.56
  5. Step 5: Solve for x
    x = 37,898,277.56/9,937.91
  6. Step 6: Final answer
    x = 3,813.50

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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.