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Finding the Fourth Proportional to 6,411.05, 9,617.64 and 2,028.14

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Solution

The fourth proportional to 6,411.05, 9,617.64 and 2,028.14 is: 3,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.05 : 9,617.64 = 2,028.14 : x
  2. Step 2: Convert to fraction form
    6,411.05/9,617.64 = 2,028.14/x
  3. Step 3: Cross multiply
    6,411.05x = 9,617.64 × 2,028.14
  4. Step 4: Simplify right side
    6,411.05x = 19,505,900.76
  5. Step 5: Solve for x
    x = 19,505,900.76/6,411.05
  6. Step 6: Final answer
    x = 3,042.54

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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.