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Finding the Fourth Proportional to 6,384.20, 9,577.74 and 2,922.44

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Solution

The fourth proportional to 6,384.20, 9,577.74 and 2,922.44 is: 4,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.20 : 9,577.74 = 2,922.44 : x
  2. Step 2: Convert to fraction form
    6,384.20/9,577.74 = 2,922.44/x
  3. Step 3: Cross multiply
    6,384.20x = 9,577.74 × 2,922.44
  4. Step 4: Simplify right side
    6,384.20x = 27,990,370.49
  5. Step 5: Solve for x
    x = 27,990,370.49/6,384.20
  6. Step 6: Final answer
    x = 4,384.32

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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.