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Finding the Fourth Proportional to 6,297.81, 8,694.59 and 4,176.23

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Solution

The fourth proportional to 6,297.81, 8,694.59 and 4,176.23 is: 5,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.81 : 8,694.59 = 4,176.23 : x
  2. Step 2: Convert to fraction form
    6,297.81/8,694.59 = 4,176.23/x
  3. Step 3: Cross multiply
    6,297.81x = 8,694.59 × 4,176.23
  4. Step 4: Simplify right side
    6,297.81x = 36,310,592.15
  5. Step 5: Solve for x
    x = 36,310,592.15/6,297.81
  6. Step 6: Final answer
    x = 5,765.59

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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.