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Finding the Fourth Proportional to 6,414.98, 9,620.14 and 2,717.47

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Solution

The fourth proportional to 6,414.98, 9,620.14 and 2,717.47 is: 4,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.98 : 9,620.14 = 2,717.47 : x
  2. Step 2: Convert to fraction form
    6,414.98/9,620.14 = 2,717.47/x
  3. Step 3: Cross multiply
    6,414.98x = 9,620.14 × 2,717.47
  4. Step 4: Simplify right side
    6,414.98x = 26,142,441.85
  5. Step 5: Solve for x
    x = 26,142,441.85/6,414.98
  6. Step 6: Final answer
    x = 4,075.22

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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.