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Finding the Fourth Proportional to 9,450.10, 14,178.48 and 5,942.62

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Solution

The fourth proportional to 9,450.10, 14,178.48 and 5,942.62 is: 8,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.10 : 14,178.48 = 5,942.62 : x
  2. Step 2: Convert to fraction form
    9,450.10/14,178.48 = 5,942.62/x
  3. Step 3: Cross multiply
    9,450.10x = 14,178.48 × 5,942.62
  4. Step 4: Simplify right side
    9,450.10x = 84,257,318.82
  5. Step 5: Solve for x
    x = 84,257,318.82/9,450.10
  6. Step 6: Final answer
    x = 8,916.02

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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.