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Finding the Fourth Proportional to 9,725.32, 14,584.92 and 3,149.92

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Solution

The fourth proportional to 9,725.32, 14,584.92 and 3,149.92 is: 4,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.32 : 14,584.92 = 3,149.92 : x
  2. Step 2: Convert to fraction form
    9,725.32/14,584.92 = 3,149.92/x
  3. Step 3: Cross multiply
    9,725.32x = 14,584.92 × 3,149.92
  4. Step 4: Simplify right side
    9,725.32x = 45,941,331.21
  5. Step 5: Solve for x
    x = 45,941,331.21/9,725.32
  6. Step 6: Final answer
    x = 4,723.89

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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.