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Finding the Fourth Proportional to 6,522.81, 9,785.63 and 2,140.10

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Solution

The fourth proportional to 6,522.81, 9,785.63 and 2,140.10 is: 3,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.81 : 9,785.63 = 2,140.10 : x
  2. Step 2: Convert to fraction form
    6,522.81/9,785.63 = 2,140.10/x
  3. Step 3: Cross multiply
    6,522.81x = 9,785.63 × 2,140.10
  4. Step 4: Simplify right side
    6,522.81x = 20,942,226.76
  5. Step 5: Solve for x
    x = 20,942,226.76/6,522.81
  6. Step 6: Final answer
    x = 3,210.61

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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.