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Finding the Fourth Proportional to 9,794.09, 14,691.48 and 3,220.79

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Solution

The fourth proportional to 9,794.09, 14,691.48 and 3,220.79 is: 4,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.09 : 14,691.48 = 3,220.79 : x
  2. Step 2: Convert to fraction form
    9,794.09/14,691.48 = 3,220.79/x
  3. Step 3: Cross multiply
    9,794.09x = 14,691.48 × 3,220.79
  4. Step 4: Simplify right side
    9,794.09x = 47,318,098.41
  5. Step 5: Solve for x
    x = 47,318,098.41/9,794.09
  6. Step 6: Final answer
    x = 4,831.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.