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Finding the Fourth Proportional to 9,197.55, 13,797.34 and 3,355.43

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Solution

The fourth proportional to 9,197.55, 13,797.34 and 3,355.43 is: 5,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.55 : 13,797.34 = 3,355.43 : x
  2. Step 2: Convert to fraction form
    9,197.55/13,797.34 = 3,355.43/x
  3. Step 3: Cross multiply
    9,197.55x = 13,797.34 × 3,355.43
  4. Step 4: Simplify right side
    9,197.55x = 46,295,931.18
  5. Step 5: Solve for x
    x = 46,295,931.18/9,197.55
  6. Step 6: Final answer
    x = 5,033.51

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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.