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Finding the Fourth Proportional to 6,318.64, 8,722.92 and 4,330

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Solution

The fourth proportional to 6,318.64, 8,722.92 and 4,330 is: 5,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.64 : 8,722.92 = 4,330 : x
  2. Step 2: Convert to fraction form
    6,318.64/8,722.92 = 4,330/x
  3. Step 3: Cross multiply
    6,318.64x = 8,722.92 × 4,330
  4. Step 4: Simplify right side
    6,318.64x = 37,770,243.60
  5. Step 5: Solve for x
    x = 37,770,243.60/6,318.64
  6. Step 6: Final answer
    x = 5,977.59

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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.