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Finding the Fourth Proportional to 9,725.92, 14,590.41 and 3,485.79

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Solution

The fourth proportional to 9,725.92, 14,590.41 and 3,485.79 is: 5,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.92 : 14,590.41 = 3,485.79 : x
  2. Step 2: Convert to fraction form
    9,725.92/14,590.41 = 3,485.79/x
  3. Step 3: Cross multiply
    9,725.92x = 14,590.41 × 3,485.79
  4. Step 4: Simplify right side
    9,725.92x = 50,859,105.27
  5. Step 5: Solve for x
    x = 50,859,105.27/9,725.92
  6. Step 6: Final answer
    x = 5,229.23

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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.