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Finding the Fourth Proportional to 9,197.51, 13,797.56 and 3,651.44

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Solution

The fourth proportional to 9,197.51, 13,797.56 and 3,651.44 is: 5,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.51 : 13,797.56 = 3,651.44 : x
  2. Step 2: Convert to fraction form
    9,197.51/13,797.56 = 3,651.44/x
  3. Step 3: Cross multiply
    9,197.51x = 13,797.56 × 3,651.44
  4. Step 4: Simplify right side
    9,197.51x = 50,380,909.74
  5. Step 5: Solve for x
    x = 50,380,909.74/9,197.51
  6. Step 6: Final answer
    x = 5,477.67

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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.