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Finding the Fourth Proportional to 8,194.77, 12,294.59 and 3,512.46

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Solution

The fourth proportional to 8,194.77, 12,294.59 and 3,512.46 is: 5,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.77 : 12,294.59 = 3,512.46 : x
  2. Step 2: Convert to fraction form
    8,194.77/12,294.59 = 3,512.46/x
  3. Step 3: Cross multiply
    8,194.77x = 12,294.59 × 3,512.46
  4. Step 4: Simplify right side
    8,194.77x = 43,184,284.13
  5. Step 5: Solve for x
    x = 43,184,284.13/8,194.77
  6. Step 6: Final answer
    x = 5,269.74

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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.