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Finding the Fourth Proportional to 6,016.17, 9,023.14 and 1,633.98

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Solution

The fourth proportional to 6,016.17, 9,023.14 and 1,633.98 is: 2,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.17 : 9,023.14 = 1,633.98 : x
  2. Step 2: Convert to fraction form
    6,016.17/9,023.14 = 1,633.98/x
  3. Step 3: Cross multiply
    6,016.17x = 9,023.14 × 1,633.98
  4. Step 4: Simplify right side
    6,016.17x = 14,743,630.30
  5. Step 5: Solve for x
    x = 14,743,630.30/6,016.17
  6. Step 6: Final answer
    x = 2,450.67

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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.