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Finding the Fourth Proportional to 6,213.40, 8,574.78 and 4,226.20

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Solution

The fourth proportional to 6,213.40, 8,574.78 and 4,226.20 is: 5,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.40 : 8,574.78 = 4,226.20 : x
  2. Step 2: Convert to fraction form
    6,213.40/8,574.78 = 4,226.20/x
  3. Step 3: Cross multiply
    6,213.40x = 8,574.78 × 4,226.20
  4. Step 4: Simplify right side
    6,213.40x = 36,238,735.24
  5. Step 5: Solve for x
    x = 36,238,735.24/6,213.40
  6. Step 6: Final answer
    x = 5,832.35

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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.