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Finding the Fourth Proportional to 9,431.94, 14,134.50 and 6,947.22

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Solution

The fourth proportional to 9,431.94, 14,134.50 and 6,947.22 is: 10,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.94 : 14,134.50 = 6,947.22 : x
  2. Step 2: Convert to fraction form
    9,431.94/14,134.50 = 6,947.22/x
  3. Step 3: Cross multiply
    9,431.94x = 14,134.50 × 6,947.22
  4. Step 4: Simplify right side
    9,431.94x = 98,195,481.09
  5. Step 5: Solve for x
    x = 98,195,481.09/9,431.94
  6. Step 6: Final answer
    x = 10,410.95

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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.