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Finding the Fourth Proportional to 6,522.53, 9,785.22 and 2,139.83

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Solution

The fourth proportional to 6,522.53, 9,785.22 and 2,139.83 is: 3,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.53 : 9,785.22 = 2,139.83 : x
  2. Step 2: Convert to fraction form
    6,522.53/9,785.22 = 2,139.83/x
  3. Step 3: Cross multiply
    6,522.53x = 9,785.22 × 2,139.83
  4. Step 4: Simplify right side
    6,522.53x = 20,938,662.54
  5. Step 5: Solve for x
    x = 20,938,662.54/6,522.53
  6. Step 6: Final answer
    x = 3,210.20

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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.