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Finding the Fourth Proportional to 6,151.44, 9,225.72 and 3,028.24

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Solution

The fourth proportional to 6,151.44, 9,225.72 and 3,028.24 is: 4,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.44 : 9,225.72 = 3,028.24 : x
  2. Step 2: Convert to fraction form
    6,151.44/9,225.72 = 3,028.24/x
  3. Step 3: Cross multiply
    6,151.44x = 9,225.72 × 3,028.24
  4. Step 4: Simplify right side
    6,151.44x = 27,937,694.33
  5. Step 5: Solve for x
    x = 27,937,694.33/6,151.44
  6. Step 6: Final answer
    x = 4,541.65

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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.