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Finding the Fourth Proportional to 9,798.14, 14,694.11 and 3,222.56

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Solution

The fourth proportional to 9,798.14, 14,694.11 and 3,222.56 is: 4,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.14 : 14,694.11 = 3,222.56 : x
  2. Step 2: Convert to fraction form
    9,798.14/14,694.11 = 3,222.56/x
  3. Step 3: Cross multiply
    9,798.14x = 14,694.11 × 3,222.56
  4. Step 4: Simplify right side
    9,798.14x = 47,352,635.01
  5. Step 5: Solve for x
    x = 47,352,635.01/9,798.14
  6. Step 6: Final answer
    x = 4,832.82

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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.