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Finding the Fourth Proportional to 6,272.84, 9,409.20 and 3,808.34

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Solution

The fourth proportional to 6,272.84, 9,409.20 and 3,808.34 is: 5,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.84 : 9,409.20 = 3,808.34 : x
  2. Step 2: Convert to fraction form
    6,272.84/9,409.20 = 3,808.34/x
  3. Step 3: Cross multiply
    6,272.84x = 9,409.20 × 3,808.34
  4. Step 4: Simplify right side
    6,272.84x = 35,833,432.73
  5. Step 5: Solve for x
    x = 35,833,432.73/6,272.84
  6. Step 6: Final answer
    x = 5,712.47

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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.