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Finding the Fourth Proportional to 6,096.84, 9,138.20 and 2,803.02

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Solution

The fourth proportional to 6,096.84, 9,138.20 and 2,803.02 is: 4,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.84 : 9,138.20 = 2,803.02 : x
  2. Step 2: Convert to fraction form
    6,096.84/9,138.20 = 2,803.02/x
  3. Step 3: Cross multiply
    6,096.84x = 9,138.20 × 2,803.02
  4. Step 4: Simplify right side
    6,096.84x = 25,614,583.26
  5. Step 5: Solve for x
    x = 25,614,583.26/6,096.84
  6. Step 6: Final answer
    x = 4,201.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.