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Finding the Fourth Proportional to 6,436.14, 9,656.04 and 3,318.42

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Solution

The fourth proportional to 6,436.14, 9,656.04 and 3,318.42 is: 4,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.14 : 9,656.04 = 3,318.42 : x
  2. Step 2: Convert to fraction form
    6,436.14/9,656.04 = 3,318.42/x
  3. Step 3: Cross multiply
    6,436.14x = 9,656.04 × 3,318.42
  4. Step 4: Simplify right side
    6,436.14x = 32,042,796.26
  5. Step 5: Solve for x
    x = 32,042,796.26/6,436.14
  6. Step 6: Final answer
    x = 4,978.57

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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.