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Finding the Fourth Proportional to 9,643.20, 14,449.84 and 6,687.41

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Solution

The fourth proportional to 9,643.20, 14,449.84 and 6,687.41 is: 10,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.20 : 14,449.84 = 6,687.41 : x
  2. Step 2: Convert to fraction form
    9,643.20/14,449.84 = 6,687.41/x
  3. Step 3: Cross multiply
    9,643.20x = 14,449.84 × 6,687.41
  4. Step 4: Simplify right side
    9,643.20x = 96,631,969.73
  5. Step 5: Solve for x
    x = 96,631,969.73/9,643.20
  6. Step 6: Final answer
    x = 10,020.74

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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.