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Finding the Fourth Proportional to 6,146.37, 9,223.83 and 2,448.27

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Solution

The fourth proportional to 6,146.37, 9,223.83 and 2,448.27 is: 3,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.37 : 9,223.83 = 2,448.27 : x
  2. Step 2: Convert to fraction form
    6,146.37/9,223.83 = 2,448.27/x
  3. Step 3: Cross multiply
    6,146.37x = 9,223.83 × 2,448.27
  4. Step 4: Simplify right side
    6,146.37x = 22,582,426.27
  5. Step 5: Solve for x
    x = 22,582,426.27/6,146.37
  6. Step 6: Final answer
    x = 3,674.11

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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.