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Finding the Fourth Proportional to 9,255.84, 13,883.76 and 2,682.03

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Solution

The fourth proportional to 9,255.84, 13,883.76 and 2,682.03 is: 4,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.84 : 13,883.76 = 2,682.03 : x
  2. Step 2: Convert to fraction form
    9,255.84/13,883.76 = 2,682.03/x
  3. Step 3: Cross multiply
    9,255.84x = 13,883.76 × 2,682.03
  4. Step 4: Simplify right side
    9,255.84x = 37,236,660.83
  5. Step 5: Solve for x
    x = 37,236,660.83/9,255.84
  6. Step 6: Final answer
    x = 4,023.05

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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.