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Finding the Fourth Proportional to 9,149.57, 13,725.16 and 2,575.81

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Solution

The fourth proportional to 9,149.57, 13,725.16 and 2,575.81 is: 3,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.57 : 13,725.16 = 2,575.81 : x
  2. Step 2: Convert to fraction form
    9,149.57/13,725.16 = 2,575.81/x
  3. Step 3: Cross multiply
    9,149.57x = 13,725.16 × 2,575.81
  4. Step 4: Simplify right side
    9,149.57x = 35,353,404.38
  5. Step 5: Solve for x
    x = 35,353,404.38/9,149.57
  6. Step 6: Final answer
    x = 3,863.94

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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.