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Finding the Fourth Proportional to 9,795.75, 14,695.13 and 3,220.39

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Solution

The fourth proportional to 9,795.75, 14,695.13 and 3,220.39 is: 4,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.75 : 14,695.13 = 3,220.39 : x
  2. Step 2: Convert to fraction form
    9,795.75/14,695.13 = 3,220.39/x
  3. Step 3: Cross multiply
    9,795.75x = 14,695.13 × 3,220.39
  4. Step 4: Simplify right side
    9,795.75x = 47,324,049.70
  5. Step 5: Solve for x
    x = 47,324,049.70/9,795.75
  6. Step 6: Final answer
    x = 4,831.08

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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.