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Finding the Fourth Proportional to 9,149.64, 13,723.56 and 2,575.68

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Solution

The fourth proportional to 9,149.64, 13,723.56 and 2,575.68 is: 3,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.64 : 13,723.56 = 2,575.68 : x
  2. Step 2: Convert to fraction form
    9,149.64/13,723.56 = 2,575.68/x
  3. Step 3: Cross multiply
    9,149.64x = 13,723.56 × 2,575.68
  4. Step 4: Simplify right side
    9,149.64x = 35,347,499.02
  5. Step 5: Solve for x
    x = 35,347,499.02/9,149.64
  6. Step 6: Final answer
    x = 3,863.27

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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.