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Finding the Fourth Proportional to 9,962.70, 14,944.04 and 2,942.80

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Solution

The fourth proportional to 9,962.70, 14,944.04 and 2,942.80 is: 4,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.70 : 14,944.04 = 2,942.80 : x
  2. Step 2: Convert to fraction form
    9,962.70/14,944.04 = 2,942.80/x
  3. Step 3: Cross multiply
    9,962.70x = 14,944.04 × 2,942.80
  4. Step 4: Simplify right side
    9,962.70x = 43,977,320.91
  5. Step 5: Solve for x
    x = 43,977,320.91/9,962.70
  6. Step 6: Final answer
    x = 4,414.20

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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.