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Finding the Fourth Proportional to 6,813, 9,401.94 and 4,333.32

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Solution

The fourth proportional to 6,813, 9,401.94 and 4,333.32 is: 5,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 9,401.94 = 4,333.32 : x
  2. Step 2: Convert to fraction form
    6,813/9,401.94 = 4,333.32/x
  3. Step 3: Cross multiply
    6,813x = 9,401.94 × 4,333.32
  4. Step 4: Simplify right side
    6,813x = 40,741,614.64
  5. Step 5: Solve for x
    x = 40,741,614.64/6,813
  6. Step 6: Final answer
    x = 5,979.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.