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Finding the Fourth Proportional to 9,334, 13,996.44 and 4,399.48

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Solution

The fourth proportional to 9,334, 13,996.44 and 4,399.48 is: 6,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334 : 13,996.44 = 4,399.48 : x
  2. Step 2: Convert to fraction form
    9,334/13,996.44 = 4,399.48/x
  3. Step 3: Cross multiply
    9,334x = 13,996.44 × 4,399.48
  4. Step 4: Simplify right side
    9,334x = 61,577,057.85
  5. Step 5: Solve for x
    x = 61,577,057.85/9,334
  6. Step 6: Final answer
    x = 6,597.07

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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.