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Finding the Fourth Proportional to 9,639.27, 14,461.34 and 9,474.03

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Solution

The fourth proportional to 9,639.27, 14,461.34 and 9,474.03 is: 14,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.27 : 14,461.34 = 9,474.03 : x
  2. Step 2: Convert to fraction form
    9,639.27/14,461.34 = 9,474.03/x
  3. Step 3: Cross multiply
    9,639.27x = 14,461.34 × 9,474.03
  4. Step 4: Simplify right side
    9,639.27x = 137,007,121.63
  5. Step 5: Solve for x
    x = 137,007,121.63/9,639.27
  6. Step 6: Final answer
    x = 14,213.43

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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.