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Finding the Fourth Proportional to 9,344.75, 14,015.21 and 2,679.46

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Solution

The fourth proportional to 9,344.75, 14,015.21 and 2,679.46 is: 4,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.75 : 14,015.21 = 2,679.46 : x
  2. Step 2: Convert to fraction form
    9,344.75/14,015.21 = 2,679.46/x
  3. Step 3: Cross multiply
    9,344.75x = 14,015.21 × 2,679.46
  4. Step 4: Simplify right side
    9,344.75x = 37,553,146.15
  5. Step 5: Solve for x
    x = 37,553,146.15/9,344.75
  6. Step 6: Final answer
    x = 4,018.64

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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.