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Finding the Fourth Proportional to 9,584.27, 13,155.63 and 8,512.91

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Solution

The fourth proportional to 9,584.27, 13,155.63 and 8,512.91 is: 11,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.27 : 13,155.63 = 8,512.91 : x
  2. Step 2: Convert to fraction form
    9,584.27/13,155.63 = 8,512.91/x
  3. Step 3: Cross multiply
    9,584.27x = 13,155.63 × 8,512.91
  4. Step 4: Simplify right side
    9,584.27x = 111,992,672.90
  5. Step 5: Solve for x
    x = 111,992,672.90/9,584.27
  6. Step 6: Final answer
    x = 11,685.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.