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Finding the Fourth Proportional to 6,522.14, 9,785.02 and 2,142.68

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Solution

The fourth proportional to 6,522.14, 9,785.02 and 2,142.68 is: 3,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.14 : 9,785.02 = 2,142.68 : x
  2. Step 2: Convert to fraction form
    6,522.14/9,785.02 = 2,142.68/x
  3. Step 3: Cross multiply
    6,522.14x = 9,785.02 × 2,142.68
  4. Step 4: Simplify right side
    6,522.14x = 20,966,166.65
  5. Step 5: Solve for x
    x = 20,966,166.65/6,522.14
  6. Step 6: Final answer
    x = 3,214.61

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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.