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Finding the Fourth Proportional to 9,794.93, 14,694.08 and 3,222.99

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Solution

The fourth proportional to 9,794.93, 14,694.08 and 3,222.99 is: 4,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.93 : 14,694.08 = 3,222.99 : x
  2. Step 2: Convert to fraction form
    9,794.93/14,694.08 = 3,222.99/x
  3. Step 3: Cross multiply
    9,794.93x = 14,694.08 × 3,222.99
  4. Step 4: Simplify right side
    9,794.93x = 47,358,856.78
  5. Step 5: Solve for x
    x = 47,358,856.78/9,794.93
  6. Step 6: Final answer
    x = 4,835.04

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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.