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Finding the Fourth Proportional to 6,184.99, 9,277.39 and 1,505.04

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Solution

The fourth proportional to 6,184.99, 9,277.39 and 1,505.04 is: 2,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.99 : 9,277.39 = 1,505.04 : x
  2. Step 2: Convert to fraction form
    6,184.99/9,277.39 = 1,505.04/x
  3. Step 3: Cross multiply
    6,184.99x = 9,277.39 × 1,505.04
  4. Step 4: Simplify right side
    6,184.99x = 13,962,843.05
  5. Step 5: Solve for x
    x = 13,962,843.05/6,184.99
  6. Step 6: Final answer
    x = 2,257.54

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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.