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Finding the Fourth Proportional to 6,233.68, 9,362.04 and 4,943.44

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Solution

The fourth proportional to 6,233.68, 9,362.04 and 4,943.44 is: 7,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.68 : 9,362.04 = 4,943.44 : x
  2. Step 2: Convert to fraction form
    6,233.68/9,362.04 = 4,943.44/x
  3. Step 3: Cross multiply
    6,233.68x = 9,362.04 × 4,943.44
  4. Step 4: Simplify right side
    6,233.68x = 46,280,683.02
  5. Step 5: Solve for x
    x = 46,280,683.02/6,233.68
  6. Step 6: Final answer
    x = 7,424.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.