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Finding the Fourth Proportional to 9,796.94, 14,695.42 and 2,401.41

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Solution

The fourth proportional to 9,796.94, 14,695.42 and 2,401.41 is: 3,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.94 : 14,695.42 = 2,401.41 : x
  2. Step 2: Convert to fraction form
    9,796.94/14,695.42 = 2,401.41/x
  3. Step 3: Cross multiply
    9,796.94x = 14,695.42 × 2,401.41
  4. Step 4: Simplify right side
    9,796.94x = 35,289,722.54
  5. Step 5: Solve for x
    x = 35,289,722.54/9,796.94
  6. Step 6: Final answer
    x = 3,602.12

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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.