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Finding the Fourth Proportional to 6,194.06, 9,290.63 and 2,034

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Solution

The fourth proportional to 6,194.06, 9,290.63 and 2,034 is: 3,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.06 : 9,290.63 = 2,034 : x
  2. Step 2: Convert to fraction form
    6,194.06/9,290.63 = 2,034/x
  3. Step 3: Cross multiply
    6,194.06x = 9,290.63 × 2,034
  4. Step 4: Simplify right side
    6,194.06x = 18,897,131.25
  5. Step 5: Solve for x
    x = 18,897,131.25/6,194.06
  6. Step 6: Final answer
    x = 3,050.85

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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.