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Finding the Fourth Proportional to 9,996.97, 14,996 and 2,601.45

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Solution

The fourth proportional to 9,996.97, 14,996 and 2,601.45 is: 3,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.97 : 14,996 = 2,601.45 : x
  2. Step 2: Convert to fraction form
    9,996.97/14,996 = 2,601.45/x
  3. Step 3: Cross multiply
    9,996.97x = 14,996 × 2,601.45
  4. Step 4: Simplify right side
    9,996.97x = 39,011,344.20
  5. Step 5: Solve for x
    x = 39,011,344.20/9,996.97
  6. Step 6: Final answer
    x = 3,902.32

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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.