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Finding the Fourth Proportional to 6,324.48, 9,486.45 and 3,743.82

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Solution

The fourth proportional to 6,324.48, 9,486.45 and 3,743.82 is: 5,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.48 : 9,486.45 = 3,743.82 : x
  2. Step 2: Convert to fraction form
    6,324.48/9,486.45 = 3,743.82/x
  3. Step 3: Cross multiply
    6,324.48x = 9,486.45 × 3,743.82
  4. Step 4: Simplify right side
    6,324.48x = 35,515,561.24
  5. Step 5: Solve for x
    x = 35,515,561.24/6,324.48
  6. Step 6: Final answer
    x = 5,615.57

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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.