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Finding the Fourth Proportional to 9,767.95, 14,650.44 and 3,194.13

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Solution

The fourth proportional to 9,767.95, 14,650.44 and 3,194.13 is: 4,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.95 : 14,650.44 = 3,194.13 : x
  2. Step 2: Convert to fraction form
    9,767.95/14,650.44 = 3,194.13/x
  3. Step 3: Cross multiply
    9,767.95x = 14,650.44 × 3,194.13
  4. Step 4: Simplify right side
    9,767.95x = 46,795,409.92
  5. Step 5: Solve for x
    x = 46,795,409.92/9,767.95
  6. Step 6: Final answer
    x = 4,790.71

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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.