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Finding the Fourth Proportional to 9,114.95, 12,584.09 and 5,976.60

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Solution

The fourth proportional to 9,114.95, 12,584.09 and 5,976.60 is: 8,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.95 : 12,584.09 = 5,976.60 : x
  2. Step 2: Convert to fraction form
    9,114.95/12,584.09 = 5,976.60/x
  3. Step 3: Cross multiply
    9,114.95x = 12,584.09 × 5,976.60
  4. Step 4: Simplify right side
    9,114.95x = 75,210,042.41
  5. Step 5: Solve for x
    x = 75,210,042.41/9,114.95
  6. Step 6: Final answer
    x = 8,251.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.