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Finding the Fourth Proportional to 9,354, 14,033.16 and 3,198

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Solution

The fourth proportional to 9,354, 14,033.16 and 3,198 is: 4,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354 : 14,033.16 = 3,198 : x
  2. Step 2: Convert to fraction form
    9,354/14,033.16 = 3,198/x
  3. Step 3: Cross multiply
    9,354x = 14,033.16 × 3,198
  4. Step 4: Simplify right side
    9,354x = 44,878,045.68
  5. Step 5: Solve for x
    x = 44,878,045.68/9,354
  6. Step 6: Final answer
    x = 4,797.74

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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.