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Finding the Fourth Proportional to 6,094.92, 9,144.90 and 3,323.52

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Solution

The fourth proportional to 6,094.92, 9,144.90 and 3,323.52 is: 4,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.92 : 9,144.90 = 3,323.52 : x
  2. Step 2: Convert to fraction form
    6,094.92/9,144.90 = 3,323.52/x
  3. Step 3: Cross multiply
    6,094.92x = 9,144.90 × 3,323.52
  4. Step 4: Simplify right side
    6,094.92x = 30,393,258.05
  5. Step 5: Solve for x
    x = 30,393,258.05/6,094.92
  6. Step 6: Final answer
    x = 4,986.65

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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.