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Finding the Fourth Proportional to 9,584.49, 14,378.09 and 3,011.21

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Solution

The fourth proportional to 9,584.49, 14,378.09 and 3,011.21 is: 4,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.49 : 14,378.09 = 3,011.21 : x
  2. Step 2: Convert to fraction form
    9,584.49/14,378.09 = 3,011.21/x
  3. Step 3: Cross multiply
    9,584.49x = 14,378.09 × 3,011.21
  4. Step 4: Simplify right side
    9,584.49x = 43,295,361.44
  5. Step 5: Solve for x
    x = 43,295,361.44/9,584.49
  6. Step 6: Final answer
    x = 4,517.23

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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.