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Finding the Fourth Proportional to 9,794.88, 14,694.12 and 3,222.95

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Solution

The fourth proportional to 9,794.88, 14,694.12 and 3,222.95 is: 4,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.88 : 14,694.12 = 3,222.95 : x
  2. Step 2: Convert to fraction form
    9,794.88/14,694.12 = 3,222.95/x
  3. Step 3: Cross multiply
    9,794.88x = 14,694.12 × 3,222.95
  4. Step 4: Simplify right side
    9,794.88x = 47,358,340.58
  5. Step 5: Solve for x
    x = 47,358,340.58/9,794.88
  6. Step 6: Final answer
    x = 4,835.01

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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.