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Finding the Fourth Proportional to 6,411.98, 9,617.42 and 2,028.80

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Solution

The fourth proportional to 6,411.98, 9,617.42 and 2,028.80 is: 3,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.98 : 9,617.42 = 2,028.80 : x
  2. Step 2: Convert to fraction form
    6,411.98/9,617.42 = 2,028.80/x
  3. Step 3: Cross multiply
    6,411.98x = 9,617.42 × 2,028.80
  4. Step 4: Simplify right side
    6,411.98x = 19,511,763.46
  5. Step 5: Solve for x
    x = 19,511,763.46/6,411.98
  6. Step 6: Final answer
    x = 3,043.02

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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.