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Finding the Fourth Proportional to 9,604.36, 14,396.66 and 3,679.64

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Solution

The fourth proportional to 9,604.36, 14,396.66 and 3,679.64 is: 5,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.36 : 14,396.66 = 3,679.64 : x
  2. Step 2: Convert to fraction form
    9,604.36/14,396.66 = 3,679.64/x
  3. Step 3: Cross multiply
    9,604.36x = 14,396.66 × 3,679.64
  4. Step 4: Simplify right side
    9,604.36x = 52,974,435.62
  5. Step 5: Solve for x
    x = 52,974,435.62/9,604.36
  6. Step 6: Final answer
    x = 5,515.67

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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.