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Finding the Fourth Proportional to 9,794.86, 14,694.14 and 3,222.92

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Solution

The fourth proportional to 9,794.86, 14,694.14 and 3,222.92 is: 4,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.86 : 14,694.14 = 3,222.92 : x
  2. Step 2: Convert to fraction form
    9,794.86/14,694.14 = 3,222.92/x
  3. Step 3: Cross multiply
    9,794.86x = 14,694.14 × 3,222.92
  4. Step 4: Simplify right side
    9,794.86x = 47,358,082.48
  5. Step 5: Solve for x
    x = 47,358,082.48/9,794.86
  6. Step 6: Final answer
    x = 4,834.99

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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.