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Finding the Fourth Proportional to 6,096.70, 9,146.05 and 2,146.94

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Solution

The fourth proportional to 6,096.70, 9,146.05 and 2,146.94 is: 3,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.70 : 9,146.05 = 2,146.94 : x
  2. Step 2: Convert to fraction form
    6,096.70/9,146.05 = 2,146.94/x
  3. Step 3: Cross multiply
    6,096.70x = 9,146.05 × 2,146.94
  4. Step 4: Simplify right side
    6,096.70x = 19,636,020.59
  5. Step 5: Solve for x
    x = 19,636,020.59/6,096.70
  6. Step 6: Final answer
    x = 3,220.76

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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.