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Finding the Fourth Proportional to 9,441.98, 14,168.44 and 3,894.30

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Solution

The fourth proportional to 9,441.98, 14,168.44 and 3,894.30 is: 5,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.98 : 14,168.44 = 3,894.30 : x
  2. Step 2: Convert to fraction form
    9,441.98/14,168.44 = 3,894.30/x
  3. Step 3: Cross multiply
    9,441.98x = 14,168.44 × 3,894.30
  4. Step 4: Simplify right side
    9,441.98x = 55,176,155.89
  5. Step 5: Solve for x
    x = 55,176,155.89/9,441.98
  6. Step 6: Final answer
    x = 5,843.71

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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.