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Finding the Fourth Proportional to 6,034.71, 9,049.85 and 2,084.96

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Solution

The fourth proportional to 6,034.71, 9,049.85 and 2,084.96 is: 3,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.71 : 9,049.85 = 2,084.96 : x
  2. Step 2: Convert to fraction form
    6,034.71/9,049.85 = 2,084.96/x
  3. Step 3: Cross multiply
    6,034.71x = 9,049.85 × 2,084.96
  4. Step 4: Simplify right side
    6,034.71x = 18,868,587.46
  5. Step 5: Solve for x
    x = 18,868,587.46/6,034.71
  6. Step 6: Final answer
    x = 3,126.68

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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.