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Finding the Fourth Proportional to 6,420.84, 9,634.04 and 2,263.82

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Solution

The fourth proportional to 6,420.84, 9,634.04 and 2,263.82 is: 3,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.84 : 9,634.04 = 2,263.82 : x
  2. Step 2: Convert to fraction form
    6,420.84/9,634.04 = 2,263.82/x
  3. Step 3: Cross multiply
    6,420.84x = 9,634.04 × 2,263.82
  4. Step 4: Simplify right side
    6,420.84x = 21,809,714.01
  5. Step 5: Solve for x
    x = 21,809,714.01/6,420.84
  6. Step 6: Final answer
    x = 3,396.71

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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.