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Finding the Fourth Proportional to 9,314.58, 13,974.99 and 3,764.94

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Solution

The fourth proportional to 9,314.58, 13,974.99 and 3,764.94 is: 5,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.58 : 13,974.99 = 3,764.94 : x
  2. Step 2: Convert to fraction form
    9,314.58/13,974.99 = 3,764.94/x
  3. Step 3: Cross multiply
    9,314.58x = 13,974.99 × 3,764.94
  4. Step 4: Simplify right side
    9,314.58x = 52,614,998.85
  5. Step 5: Solve for x
    x = 52,614,998.85/9,314.58
  6. Step 6: Final answer
    x = 5,648.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.