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Finding the Fourth Proportional to 9,512.64, 14,268.86 and 3,665.15

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Solution

The fourth proportional to 9,512.64, 14,268.86 and 3,665.15 is: 5,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.64 : 14,268.86 = 3,665.15 : x
  2. Step 2: Convert to fraction form
    9,512.64/14,268.86 = 3,665.15/x
  3. Step 3: Cross multiply
    9,512.64x = 14,268.86 × 3,665.15
  4. Step 4: Simplify right side
    9,512.64x = 52,297,489.81
  5. Step 5: Solve for x
    x = 52,297,489.81/9,512.64
  6. Step 6: Final answer
    x = 5,497.68

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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.