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Finding the Fourth Proportional to 6,129.94, 9,193.08 and 2,233.44

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Solution

The fourth proportional to 6,129.94, 9,193.08 and 2,233.44 is: 3,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.94 : 9,193.08 = 2,233.44 : x
  2. Step 2: Convert to fraction form
    6,129.94/9,193.08 = 2,233.44/x
  3. Step 3: Cross multiply
    6,129.94x = 9,193.08 × 2,233.44
  4. Step 4: Simplify right side
    6,129.94x = 20,532,192.60
  5. Step 5: Solve for x
    x = 20,532,192.60/6,129.94
  6. Step 6: Final answer
    x = 3,349.49

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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.