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Finding the Fourth Proportional to 6,093.94, 9,123.09 and 5,510.29

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Solution

The fourth proportional to 6,093.94, 9,123.09 and 5,510.29 is: 8,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.94 : 9,123.09 = 5,510.29 : x
  2. Step 2: Convert to fraction form
    6,093.94/9,123.09 = 5,510.29/x
  3. Step 3: Cross multiply
    6,093.94x = 9,123.09 × 5,510.29
  4. Step 4: Simplify right side
    6,093.94x = 50,270,871.60
  5. Step 5: Solve for x
    x = 50,270,871.60/6,093.94
  6. Step 6: Final answer
    x = 8,249.32

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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.