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Finding the Fourth Proportional to 6,184.65, 9,274.28 and 2,485.65

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Solution

The fourth proportional to 6,184.65, 9,274.28 and 2,485.65 is: 3,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.65 : 9,274.28 = 2,485.65 : x
  2. Step 2: Convert to fraction form
    6,184.65/9,274.28 = 2,485.65/x
  3. Step 3: Cross multiply
    6,184.65x = 9,274.28 × 2,485.65
  4. Step 4: Simplify right side
    6,184.65x = 23,052,601.65
  5. Step 5: Solve for x
    x = 23,052,601.65/6,184.65
  6. Step 6: Final answer
    x = 3,727.39

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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.