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Finding the Fourth Proportional to 6,411.80, 9,616.73 and 2,028.69

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Solution

The fourth proportional to 6,411.80, 9,616.73 and 2,028.69 is: 3,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.80 : 9,616.73 = 2,028.69 : x
  2. Step 2: Convert to fraction form
    6,411.80/9,616.73 = 2,028.69/x
  3. Step 3: Cross multiply
    6,411.80x = 9,616.73 × 2,028.69
  4. Step 4: Simplify right side
    6,411.80x = 19,509,315.90
  5. Step 5: Solve for x
    x = 19,509,315.90/6,411.80
  6. Step 6: Final answer
    x = 3,042.72

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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.