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Finding the Fourth Proportional to 9,441.44, 14,161.25 and 2,867.69

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Solution

The fourth proportional to 9,441.44, 14,161.25 and 2,867.69 is: 4,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.44 : 14,161.25 = 2,867.69 : x
  2. Step 2: Convert to fraction form
    9,441.44/14,161.25 = 2,867.69/x
  3. Step 3: Cross multiply
    9,441.44x = 14,161.25 × 2,867.69
  4. Step 4: Simplify right side
    9,441.44x = 40,609,989.87
  5. Step 5: Solve for x
    x = 40,609,989.87/9,441.44
  6. Step 6: Final answer
    x = 4,301.25

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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.