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Finding the Fourth Proportional to 9,996.40, 14,997.17 and 3,422.64

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Solution

The fourth proportional to 9,996.40, 14,997.17 and 3,422.64 is: 5,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.40 : 14,997.17 = 3,422.64 : x
  2. Step 2: Convert to fraction form
    9,996.40/14,997.17 = 3,422.64/x
  3. Step 3: Cross multiply
    9,996.40x = 14,997.17 × 3,422.64
  4. Step 4: Simplify right side
    9,996.40x = 51,329,913.93
  5. Step 5: Solve for x
    x = 51,329,913.93/9,996.40
  6. Step 6: Final answer
    x = 5,134.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.