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Finding the Fourth Proportional to 6,832, 9,429.06 and 4,144.29

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Solution

The fourth proportional to 6,832, 9,429.06 and 4,144.29 is: 5,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 9,429.06 = 4,144.29 : x
  2. Step 2: Convert to fraction form
    6,832/9,429.06 = 4,144.29/x
  3. Step 3: Cross multiply
    6,832x = 9,429.06 × 4,144.29
  4. Step 4: Simplify right side
    6,832x = 39,076,759.07
  5. Step 5: Solve for x
    x = 39,076,759.07/6,832
  6. Step 6: Final answer
    x = 5,719.67

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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.