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Finding the Fourth Proportional to 9,850.44, 14,763.78 and 4,301.40

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Solution

The fourth proportional to 9,850.44, 14,763.78 and 4,301.40 is: 6,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.44 : 14,763.78 = 4,301.40 : x
  2. Step 2: Convert to fraction form
    9,850.44/14,763.78 = 4,301.40/x
  3. Step 3: Cross multiply
    9,850.44x = 14,763.78 × 4,301.40
  4. Step 4: Simplify right side
    9,850.44x = 63,504,923.29
  5. Step 5: Solve for x
    x = 63,504,923.29/9,850.44
  6. Step 6: Final answer
    x = 6,446.91

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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.