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Finding the Fourth Proportional to 9,149.83, 13,725.48 and 2,576.54

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Solution

The fourth proportional to 9,149.83, 13,725.48 and 2,576.54 is: 3,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.83 : 13,725.48 = 2,576.54 : x
  2. Step 2: Convert to fraction form
    9,149.83/13,725.48 = 2,576.54/x
  3. Step 3: Cross multiply
    9,149.83x = 13,725.48 × 2,576.54
  4. Step 4: Simplify right side
    9,149.83x = 35,364,248.24
  5. Step 5: Solve for x
    x = 35,364,248.24/9,149.83
  6. Step 6: Final answer
    x = 3,865.02

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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.