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Finding the Fourth Proportional to 6,426.82, 9,643.57 and 2,919.32

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Solution

The fourth proportional to 6,426.82, 9,643.57 and 2,919.32 is: 4,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.82 : 9,643.57 = 2,919.32 : x
  2. Step 2: Convert to fraction form
    6,426.82/9,643.57 = 2,919.32/x
  3. Step 3: Cross multiply
    6,426.82x = 9,643.57 × 2,919.32
  4. Step 4: Simplify right side
    6,426.82x = 28,152,611.26
  5. Step 5: Solve for x
    x = 28,152,611.26/6,426.82
  6. Step 6: Final answer
    x = 4,380.49

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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.