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Finding the Fourth Proportional to 6,464.32, 9,700.84 and 4,157.44

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Solution

The fourth proportional to 6,464.32, 9,700.84 and 4,157.44 is: 6,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.32 : 9,700.84 = 4,157.44 : x
  2. Step 2: Convert to fraction form
    6,464.32/9,700.84 = 4,157.44/x
  3. Step 3: Cross multiply
    6,464.32x = 9,700.84 × 4,157.44
  4. Step 4: Simplify right side
    6,464.32x = 40,330,660.25
  5. Step 5: Solve for x
    x = 40,330,660.25/6,464.32
  6. Step 6: Final answer
    x = 6,238.96

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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.