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Finding the Fourth Proportional to 6,439.64, 9,650.88 and 4,215.65

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Solution

The fourth proportional to 6,439.64, 9,650.88 and 4,215.65 is: 6,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.64 : 9,650.88 = 4,215.65 : x
  2. Step 2: Convert to fraction form
    6,439.64/9,650.88 = 4,215.65/x
  3. Step 3: Cross multiply
    6,439.64x = 9,650.88 × 4,215.65
  4. Step 4: Simplify right side
    6,439.64x = 40,684,684.02
  5. Step 5: Solve for x
    x = 40,684,684.02/6,439.64
  6. Step 6: Final answer
    x = 6,317.86

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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.