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Finding the Fourth Proportional to 6,231.68, 9,359.04 and 4,941.44

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Solution

The fourth proportional to 6,231.68, 9,359.04 and 4,941.44 is: 7,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.68 : 9,359.04 = 4,941.44 : x
  2. Step 2: Convert to fraction form
    6,231.68/9,359.04 = 4,941.44/x
  3. Step 3: Cross multiply
    6,231.68x = 9,359.04 × 4,941.44
  4. Step 4: Simplify right side
    6,231.68x = 46,247,134.62
  5. Step 5: Solve for x
    x = 46,247,134.62/6,231.68
  6. Step 6: Final answer
    x = 7,421.29

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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.