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Finding the Fourth Proportional to 9,194.75, 12,686.81 and 6,012.71

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Solution

The fourth proportional to 9,194.75, 12,686.81 and 6,012.71 is: 8,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.75 : 12,686.81 = 6,012.71 : x
  2. Step 2: Convert to fraction form
    9,194.75/12,686.81 = 6,012.71/x
  3. Step 3: Cross multiply
    9,194.75x = 12,686.81 × 6,012.71
  4. Step 4: Simplify right side
    9,194.75x = 76,282,060.95
  5. Step 5: Solve for x
    x = 76,282,060.95/9,194.75
  6. Step 6: Final answer
    x = 8,296.27

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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.