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Finding the Fourth Proportional to 9,794.14, 14,693.42 and 3,220.38

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Solution

The fourth proportional to 9,794.14, 14,693.42 and 3,220.38 is: 4,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.14 : 14,693.42 = 3,220.38 : x
  2. Step 2: Convert to fraction form
    9,794.14/14,693.42 = 3,220.38/x
  3. Step 3: Cross multiply
    9,794.14x = 14,693.42 × 3,220.38
  4. Step 4: Simplify right side
    9,794.14x = 47,318,403.95
  5. Step 5: Solve for x
    x = 47,318,403.95/9,794.14
  6. Step 6: Final answer
    x = 4,831.30

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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.