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Finding the Fourth Proportional to 6,089.46, 9,137.84 and 2,194.17

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Solution

The fourth proportional to 6,089.46, 9,137.84 and 2,194.17 is: 3,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.46 : 9,137.84 = 2,194.17 : x
  2. Step 2: Convert to fraction form
    6,089.46/9,137.84 = 2,194.17/x
  3. Step 3: Cross multiply
    6,089.46x = 9,137.84 × 2,194.17
  4. Step 4: Simplify right side
    6,089.46x = 20,049,963.42
  5. Step 5: Solve for x
    x = 20,049,963.42/6,089.46
  6. Step 6: Final answer
    x = 3,292.57

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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.