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Finding the Fourth Proportional to 9,626.72, 14,431.44 and 3,787.52

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Solution

The fourth proportional to 9,626.72, 14,431.44 and 3,787.52 is: 5,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.72 : 14,431.44 = 3,787.52 : x
  2. Step 2: Convert to fraction form
    9,626.72/14,431.44 = 3,787.52/x
  3. Step 3: Cross multiply
    9,626.72x = 14,431.44 × 3,787.52
  4. Step 4: Simplify right side
    9,626.72x = 54,659,367.63
  5. Step 5: Solve for x
    x = 54,659,367.63/9,626.72
  6. Step 6: Final answer
    x = 5,677.88

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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.