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Finding the Fourth Proportional to 9,197.75, 13,798.15 and 3,651.14

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Solution

The fourth proportional to 9,197.75, 13,798.15 and 3,651.14 is: 5,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.75 : 13,798.15 = 3,651.14 : x
  2. Step 2: Convert to fraction form
    9,197.75/13,798.15 = 3,651.14/x
  3. Step 3: Cross multiply
    9,197.75x = 13,798.15 × 3,651.14
  4. Step 4: Simplify right side
    9,197.75x = 50,379,002.76
  5. Step 5: Solve for x
    x = 50,379,002.76/9,197.75
  6. Step 6: Final answer
    x = 5,477.32

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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.