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Finding the Fourth Proportional to 6,465.98, 9,699.84 and 2,082.38

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Solution

The fourth proportional to 6,465.98, 9,699.84 and 2,082.38 is: 3,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.98 : 9,699.84 = 2,082.38 : x
  2. Step 2: Convert to fraction form
    6,465.98/9,699.84 = 2,082.38/x
  3. Step 3: Cross multiply
    6,465.98x = 9,699.84 × 2,082.38
  4. Step 4: Simplify right side
    6,465.98x = 20,198,752.82
  5. Step 5: Solve for x
    x = 20,198,752.82/6,465.98
  6. Step 6: Final answer
    x = 3,123.85

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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.