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Finding the Fourth Proportional to 25,982.36, 38,963.97 and 9,337.94

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Solution

The fourth proportional to 25,982.36, 38,963.97 and 9,337.94 is: 14,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.36 : 38,963.97 = 9,337.94 : x
  2. Step 2: Convert to fraction form
    25,982.36/38,963.97 = 9,337.94/x
  3. Step 3: Cross multiply
    25,982.36x = 38,963.97 × 9,337.94
  4. Step 4: Simplify right side
    25,982.36x = 363,843,214.02
  5. Step 5: Solve for x
    x = 363,843,214.02/25,982.36
  6. Step 6: Final answer
    x = 14,003.47

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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.