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Finding the Fourth Proportional to 6,096.98, 9,136.68 and 3,592.26

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Solution

The fourth proportional to 6,096.98, 9,136.68 and 3,592.26 is: 5,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.98 : 9,136.68 = 3,592.26 : x
  2. Step 2: Convert to fraction form
    6,096.98/9,136.68 = 3,592.26/x
  3. Step 3: Cross multiply
    6,096.98x = 9,136.68 × 3,592.26
  4. Step 4: Simplify right side
    6,096.98x = 32,821,330.10
  5. Step 5: Solve for x
    x = 32,821,330.10/6,096.98
  6. Step 6: Final answer
    x = 5,383.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.