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Finding the Fourth Proportional to 9,441.84, 14,162.28 and 3,199.44

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Solution

The fourth proportional to 9,441.84, 14,162.28 and 3,199.44 is: 4,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.84 : 14,162.28 = 3,199.44 : x
  2. Step 2: Convert to fraction form
    9,441.84/14,162.28 = 3,199.44/x
  3. Step 3: Cross multiply
    9,441.84x = 14,162.28 × 3,199.44
  4. Step 4: Simplify right side
    9,441.84x = 45,311,365.12
  5. Step 5: Solve for x
    x = 45,311,365.12/9,441.84
  6. Step 6: Final answer
    x = 4,799.00

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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.