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Finding the Fourth Proportional to 6,411.82, 9,618.93 and 2,028.10

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Solution

The fourth proportional to 6,411.82, 9,618.93 and 2,028.10 is: 3,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.82 : 9,618.93 = 2,028.10 : x
  2. Step 2: Convert to fraction form
    6,411.82/9,618.93 = 2,028.10/x
  3. Step 3: Cross multiply
    6,411.82x = 9,618.93 × 2,028.10
  4. Step 4: Simplify right side
    6,411.82x = 19,508,151.93
  5. Step 5: Solve for x
    x = 19,508,151.93/6,411.82
  6. Step 6: Final answer
    x = 3,042.53

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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.