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Finding the Fourth Proportional to 6,034.34, 9,046.74 and 3,921.50

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Solution

The fourth proportional to 6,034.34, 9,046.74 and 3,921.50 is: 5,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.34 : 9,046.74 = 3,921.50 : x
  2. Step 2: Convert to fraction form
    6,034.34/9,046.74 = 3,921.50/x
  3. Step 3: Cross multiply
    6,034.34x = 9,046.74 × 3,921.50
  4. Step 4: Simplify right side
    6,034.34x = 35,476,790.91
  5. Step 5: Solve for x
    x = 35,476,790.91/6,034.34
  6. Step 6: Final answer
    x = 5,879.15

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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.