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Finding the Fourth Proportional to 9,874.13, 14,817.63 and 3,634.20

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Solution

The fourth proportional to 9,874.13, 14,817.63 and 3,634.20 is: 5,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.13 : 14,817.63 = 3,634.20 : x
  2. Step 2: Convert to fraction form
    9,874.13/14,817.63 = 3,634.20/x
  3. Step 3: Cross multiply
    9,874.13x = 14,817.63 × 3,634.20
  4. Step 4: Simplify right side
    9,874.13x = 53,850,230.95
  5. Step 5: Solve for x
    x = 53,850,230.95/9,874.13
  6. Step 6: Final answer
    x = 5,453.67

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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.