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Finding the Fourth Proportional to 6,097.28, 9,136.19 and 3,904.20

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Solution

The fourth proportional to 6,097.28, 9,136.19 and 3,904.20 is: 5,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.28 : 9,136.19 = 3,904.20 : x
  2. Step 2: Convert to fraction form
    6,097.28/9,136.19 = 3,904.20/x
  3. Step 3: Cross multiply
    6,097.28x = 9,136.19 × 3,904.20
  4. Step 4: Simplify right side
    6,097.28x = 35,669,522.76
  5. Step 5: Solve for x
    x = 35,669,522.76/6,097.28
  6. Step 6: Final answer
    x = 5,850.08

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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.