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Finding the Fourth Proportional to 6,282.30, 9,409.01 and 3,643.27

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Solution

The fourth proportional to 6,282.30, 9,409.01 and 3,643.27 is: 5,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.30 : 9,409.01 = 3,643.27 : x
  2. Step 2: Convert to fraction form
    6,282.30/9,409.01 = 3,643.27/x
  3. Step 3: Cross multiply
    6,282.30x = 9,409.01 × 3,643.27
  4. Step 4: Simplify right side
    6,282.30x = 34,279,563.86
  5. Step 5: Solve for x
    x = 34,279,563.86/6,282.30
  6. Step 6: Final answer
    x = 5,456.53

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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.