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Finding the Fourth Proportional to 6,121.44, 9,174.46 and 3,342.32

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Solution

The fourth proportional to 6,121.44, 9,174.46 and 3,342.32 is: 5,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.44 : 9,174.46 = 3,342.32 : x
  2. Step 2: Convert to fraction form
    6,121.44/9,174.46 = 3,342.32/x
  3. Step 3: Cross multiply
    6,121.44x = 9,174.46 × 3,342.32
  4. Step 4: Simplify right side
    6,121.44x = 30,663,981.15
  5. Step 5: Solve for x
    x = 30,663,981.15/6,121.44
  6. Step 6: Final answer
    x = 5,009.28

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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.