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Finding the Fourth Proportional to 9,663.26, 14,499.74 and 3,824.78

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Solution

The fourth proportional to 9,663.26, 14,499.74 and 3,824.78 is: 5,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.26 : 14,499.74 = 3,824.78 : x
  2. Step 2: Convert to fraction form
    9,663.26/14,499.74 = 3,824.78/x
  3. Step 3: Cross multiply
    9,663.26x = 14,499.74 × 3,824.78
  4. Step 4: Simplify right side
    9,663.26x = 55,458,223.93
  5. Step 5: Solve for x
    x = 55,458,223.93/9,663.26
  6. Step 6: Final answer
    x = 5,739.08

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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.