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Finding the Fourth Proportional to 6,465.41, 9,697.80 and 2,082.77

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Solution

The fourth proportional to 6,465.41, 9,697.80 and 2,082.77 is: 3,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.41 : 9,697.80 = 2,082.77 : x
  2. Step 2: Convert to fraction form
    6,465.41/9,697.80 = 2,082.77/x
  3. Step 3: Cross multiply
    6,465.41x = 9,697.80 × 2,082.77
  4. Step 4: Simplify right side
    6,465.41x = 20,198,286.91
  5. Step 5: Solve for x
    x = 20,198,286.91/6,465.41
  6. Step 6: Final answer
    x = 3,124.05

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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.