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Finding the Fourth Proportional to 6,832, 9,428.22 and 4,143.16

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Solution

The fourth proportional to 6,832, 9,428.22 and 4,143.16 is: 5,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 9,428.22 = 4,143.16 : x
  2. Step 2: Convert to fraction form
    6,832/9,428.22 = 4,143.16/x
  3. Step 3: Cross multiply
    6,832x = 9,428.22 × 4,143.16
  4. Step 4: Simplify right side
    6,832x = 39,062,623.98
  5. Step 5: Solve for x
    x = 39,062,623.98/6,832
  6. Step 6: Final answer
    x = 5,717.60

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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.