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Finding the Fourth Proportional to 6,285.06, 9,429.74 and 3,942.24

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Solution

The fourth proportional to 6,285.06, 9,429.74 and 3,942.24 is: 5,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.06 : 9,429.74 = 3,942.24 : x
  2. Step 2: Convert to fraction form
    6,285.06/9,429.74 = 3,942.24/x
  3. Step 3: Cross multiply
    6,285.06x = 9,429.74 × 3,942.24
  4. Step 4: Simplify right side
    6,285.06x = 37,174,298.22
  5. Step 5: Solve for x
    x = 37,174,298.22/6,285.06
  6. Step 6: Final answer
    x = 5,914.71

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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.