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Finding the Fourth Proportional to 9,584.52, 13,155.97 and 8,513.16

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Solution

The fourth proportional to 9,584.52, 13,155.97 and 8,513.16 is: 11,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.52 : 13,155.97 = 8,513.16 : x
  2. Step 2: Convert to fraction form
    9,584.52/13,155.97 = 8,513.16/x
  3. Step 3: Cross multiply
    9,584.52x = 13,155.97 × 8,513.16
  4. Step 4: Simplify right side
    9,584.52x = 111,998,877.57
  5. Step 5: Solve for x
    x = 111,998,877.57/9,584.52
  6. Step 6: Final answer
    x = 11,685.39

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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.