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Finding the Fourth Proportional to 6,465.41, 9,695.68 and 2,081.69

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Solution

The fourth proportional to 6,465.41, 9,695.68 and 2,081.69 is: 3,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.41 : 9,695.68 = 2,081.69 : x
  2. Step 2: Convert to fraction form
    6,465.41/9,695.68 = 2,081.69/x
  3. Step 3: Cross multiply
    6,465.41x = 9,695.68 × 2,081.69
  4. Step 4: Simplify right side
    6,465.41x = 20,183,400.10
  5. Step 5: Solve for x
    x = 20,183,400.10/6,465.41
  6. Step 6: Final answer
    x = 3,121.75

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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.