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Finding the Fourth Proportional to 6,091.30, 9,136.95 and 2,194.93

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Solution

The fourth proportional to 6,091.30, 9,136.95 and 2,194.93 is: 3,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.30 : 9,136.95 = 2,194.93 : x
  2. Step 2: Convert to fraction form
    6,091.30/9,136.95 = 2,194.93/x
  3. Step 3: Cross multiply
    6,091.30x = 9,136.95 × 2,194.93
  4. Step 4: Simplify right side
    6,091.30x = 20,054,965.66
  5. Step 5: Solve for x
    x = 20,054,965.66/6,091.30
  6. Step 6: Final answer
    x = 3,292.40

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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.