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Finding the Fourth Proportional to 9,922.52, 14,884.50 and 2,997.56

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Solution

The fourth proportional to 9,922.52, 14,884.50 and 2,997.56 is: 4,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.52 : 14,884.50 = 2,997.56 : x
  2. Step 2: Convert to fraction form
    9,922.52/14,884.50 = 2,997.56/x
  3. Step 3: Cross multiply
    9,922.52x = 14,884.50 × 2,997.56
  4. Step 4: Simplify right side
    9,922.52x = 44,617,092.41
  5. Step 5: Solve for x
    x = 44,617,092.41/9,922.52
  6. Step 6: Final answer
    x = 4,496.55

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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.