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Finding the Fourth Proportional to 9,963.94, 14,942.42 and 2,942.10

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Solution

The fourth proportional to 9,963.94, 14,942.42 and 2,942.10 is: 4,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.94 : 14,942.42 = 2,942.10 : x
  2. Step 2: Convert to fraction form
    9,963.94/14,942.42 = 2,942.10/x
  3. Step 3: Cross multiply
    9,963.94x = 14,942.42 × 2,942.10
  4. Step 4: Simplify right side
    9,963.94x = 43,962,093.88
  5. Step 5: Solve for x
    x = 43,962,093.88/9,963.94
  6. Step 6: Final answer
    x = 4,412.12

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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.