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Finding the Fourth Proportional to 9,673, 13,350 and 5,694.48

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Solution

The fourth proportional to 9,673, 13,350 and 5,694.48 is: 7,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673 : 13,350 = 5,694.48 : x
  2. Step 2: Convert to fraction form
    9,673/13,350 = 5,694.48/x
  3. Step 3: Cross multiply
    9,673x = 13,350 × 5,694.48
  4. Step 4: Simplify right side
    9,673x = 76,021,308
  5. Step 5: Solve for x
    x = 76,021,308/9,673
  6. Step 6: Final answer
    x = 7,859.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.