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Finding the Fourth Proportional to 9,197.34, 13,797.39 and 4,267.49

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Solution

The fourth proportional to 9,197.34, 13,797.39 and 4,267.49 is: 6,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.34 : 13,797.39 = 4,267.49 : x
  2. Step 2: Convert to fraction form
    9,197.34/13,797.39 = 4,267.49/x
  3. Step 3: Cross multiply
    9,197.34x = 13,797.39 × 4,267.49
  4. Step 4: Simplify right side
    9,197.34x = 58,880,154.86
  5. Step 5: Solve for x
    x = 58,880,154.86/9,197.34
  6. Step 6: Final answer
    x = 6,401.87

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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.