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Finding the Fourth Proportional to 6,431.34, 9,640.46 and 3,652.16

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Solution

The fourth proportional to 6,431.34, 9,640.46 and 3,652.16 is: 5,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.34 : 9,640.46 = 3,652.16 : x
  2. Step 2: Convert to fraction form
    6,431.34/9,640.46 = 3,652.16/x
  3. Step 3: Cross multiply
    6,431.34x = 9,640.46 × 3,652.16
  4. Step 4: Simplify right side
    6,431.34x = 35,208,502.39
  5. Step 5: Solve for x
    x = 35,208,502.39/6,431.34
  6. Step 6: Final answer
    x = 5,474.52

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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.