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Finding the Fourth Proportional to 9,758.67, 14,620.38 and 8,208.33

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Solution

The fourth proportional to 9,758.67, 14,620.38 and 8,208.33 is: 12,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.67 : 14,620.38 = 8,208.33 : x
  2. Step 2: Convert to fraction form
    9,758.67/14,620.38 = 8,208.33/x
  3. Step 3: Cross multiply
    9,758.67x = 14,620.38 × 8,208.33
  4. Step 4: Simplify right side
    9,758.67x = 120,008,903.77
  5. Step 5: Solve for x
    x = 120,008,903.77/9,758.67
  6. Step 6: Final answer
    x = 12,297.67

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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.