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Finding the Fourth Proportional to 6,412.14, 8,843.85 and 4,426.02

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Solution

The fourth proportional to 6,412.14, 8,843.85 and 4,426.02 is: 6,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.14 : 8,843.85 = 4,426.02 : x
  2. Step 2: Convert to fraction form
    6,412.14/8,843.85 = 4,426.02/x
  3. Step 3: Cross multiply
    6,412.14x = 8,843.85 × 4,426.02
  4. Step 4: Simplify right side
    6,412.14x = 39,143,056.98
  5. Step 5: Solve for x
    x = 39,143,056.98/6,412.14
  6. Step 6: Final answer
    x = 6,104.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.