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Finding the Fourth Proportional to 6,146.55, 9,219.75 and 3,682.08

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Solution

The fourth proportional to 6,146.55, 9,219.75 and 3,682.08 is: 5,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.55 : 9,219.75 = 3,682.08 : x
  2. Step 2: Convert to fraction form
    6,146.55/9,219.75 = 3,682.08/x
  3. Step 3: Cross multiply
    6,146.55x = 9,219.75 × 3,682.08
  4. Step 4: Simplify right side
    6,146.55x = 33,947,857.08
  5. Step 5: Solve for x
    x = 33,947,857.08/6,146.55
  6. Step 6: Final answer
    x = 5,523.08

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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.