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Finding the Fourth Proportional to 6,409.30, 9,608.28 and 3,121.78

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Solution

The fourth proportional to 6,409.30, 9,608.28 and 3,121.78 is: 4,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.30 : 9,608.28 = 3,121.78 : x
  2. Step 2: Convert to fraction form
    6,409.30/9,608.28 = 3,121.78/x
  3. Step 3: Cross multiply
    6,409.30x = 9,608.28 × 3,121.78
  4. Step 4: Simplify right side
    6,409.30x = 29,994,936.34
  5. Step 5: Solve for x
    x = 29,994,936.34/6,409.30
  6. Step 6: Final answer
    x = 4,679.91

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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.