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Finding the Fourth Proportional to 9,035.44, 12,464.22 and 6,378.64

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Solution

The fourth proportional to 9,035.44, 12,464.22 and 6,378.64 is: 8,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.44 : 12,464.22 = 6,378.64 : x
  2. Step 2: Convert to fraction form
    9,035.44/12,464.22 = 6,378.64/x
  3. Step 3: Cross multiply
    9,035.44x = 12,464.22 × 6,378.64
  4. Step 4: Simplify right side
    9,035.44x = 79,504,772.26
  5. Step 5: Solve for x
    x = 79,504,772.26/9,035.44
  6. Step 6: Final answer
    x = 8,799.21

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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.