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Finding the Fourth Proportional to 9,942.97, 14,916.98 and 2,923.23

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Solution

The fourth proportional to 9,942.97, 14,916.98 and 2,923.23 is: 4,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.97 : 14,916.98 = 2,923.23 : x
  2. Step 2: Convert to fraction form
    9,942.97/14,916.98 = 2,923.23/x
  3. Step 3: Cross multiply
    9,942.97x = 14,916.98 × 2,923.23
  4. Step 4: Simplify right side
    9,942.97x = 43,605,770.75
  5. Step 5: Solve for x
    x = 43,605,770.75/9,942.97
  6. Step 6: Final answer
    x = 4,385.59

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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.