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Finding the Fourth Proportional to 6,592.72, 9,096.69 and 3,939.16

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Solution

The fourth proportional to 6,592.72, 9,096.69 and 3,939.16 is: 5,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.72 : 9,096.69 = 3,939.16 : x
  2. Step 2: Convert to fraction form
    6,592.72/9,096.69 = 3,939.16/x
  3. Step 3: Cross multiply
    6,592.72x = 9,096.69 × 3,939.16
  4. Step 4: Simplify right side
    6,592.72x = 35,833,317.38
  5. Step 5: Solve for x
    x = 35,833,317.38/6,592.72
  6. Step 6: Final answer
    x = 5,435.29

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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.