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Finding the Fourth Proportional to 9,096.17, 13,650.08 and 5,982.44

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Solution

The fourth proportional to 9,096.17, 13,650.08 and 5,982.44 is: 8,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.17 : 13,650.08 = 5,982.44 : x
  2. Step 2: Convert to fraction form
    9,096.17/13,650.08 = 5,982.44/x
  3. Step 3: Cross multiply
    9,096.17x = 13,650.08 × 5,982.44
  4. Step 4: Simplify right side
    9,096.17x = 81,660,686.43
  5. Step 5: Solve for x
    x = 81,660,686.43/9,096.17
  6. Step 6: Final answer
    x = 8,977.49

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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.