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Finding the Fourth Proportional to 25,961.76, 38,937.94 and 9,097.28

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Solution

The fourth proportional to 25,961.76, 38,937.94 and 9,097.28 is: 13,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,961.76 : 38,937.94 = 9,097.28 : x
  2. Step 2: Convert to fraction form
    25,961.76/38,937.94 = 9,097.28/x
  3. Step 3: Cross multiply
    25,961.76x = 38,937.94 × 9,097.28
  4. Step 4: Simplify right side
    25,961.76x = 354,229,342.80
  5. Step 5: Solve for x
    x = 354,229,342.80/25,961.76
  6. Step 6: Final answer
    x = 13,644.27

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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.