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Finding the Fourth Proportional to 6,194.06, 9,292.51 and 2,684.65

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Solution

The fourth proportional to 6,194.06, 9,292.51 and 2,684.65 is: 4,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.06 : 9,292.51 = 2,684.65 : x
  2. Step 2: Convert to fraction form
    6,194.06/9,292.51 = 2,684.65/x
  3. Step 3: Cross multiply
    6,194.06x = 9,292.51 × 2,684.65
  4. Step 4: Simplify right side
    6,194.06x = 24,947,154.27
  5. Step 5: Solve for x
    x = 24,947,154.27/6,194.06
  6. Step 6: Final answer
    x = 4,027.59

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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.