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Finding the Fourth Proportional to 9,754.27, 14,631.41 and 3,914.98

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Solution

The fourth proportional to 9,754.27, 14,631.41 and 3,914.98 is: 5,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.27 : 14,631.41 = 3,914.98 : x
  2. Step 2: Convert to fraction form
    9,754.27/14,631.41 = 3,914.98/x
  3. Step 3: Cross multiply
    9,754.27x = 14,631.41 × 3,914.98
  4. Step 4: Simplify right side
    9,754.27x = 57,281,650.73
  5. Step 5: Solve for x
    x = 57,281,650.73/9,754.27
  6. Step 6: Final answer
    x = 5,872.47

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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.