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Finding the Fourth Proportional to 9,725.36, 14,589.39 and 3,149.42

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Solution

The fourth proportional to 9,725.36, 14,589.39 and 3,149.42 is: 4,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.36 : 14,589.39 = 3,149.42 : x
  2. Step 2: Convert to fraction form
    9,725.36/14,589.39 = 3,149.42/x
  3. Step 3: Cross multiply
    9,725.36x = 14,589.39 × 3,149.42
  4. Step 4: Simplify right side
    9,725.36x = 45,948,116.65
  5. Step 5: Solve for x
    x = 45,948,116.65/9,725.36
  6. Step 6: Final answer
    x = 4,724.57

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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.