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Finding the Fourth Proportional to 9,738.45, 13,440.81 and 9,294.73

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Solution

The fourth proportional to 9,738.45, 13,440.81 and 9,294.73 is: 12,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.45 : 13,440.81 = 9,294.73 : x
  2. Step 2: Convert to fraction form
    9,738.45/13,440.81 = 9,294.73/x
  3. Step 3: Cross multiply
    9,738.45x = 13,440.81 × 9,294.73
  4. Step 4: Simplify right side
    9,738.45x = 124,928,666.33
  5. Step 5: Solve for x
    x = 124,928,666.33/9,738.45
  6. Step 6: Final answer
    x = 12,828.39

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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.