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Finding the Fourth Proportional to 6,182.12, 9,266.54 and 2,673.81

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Solution

The fourth proportional to 6,182.12, 9,266.54 and 2,673.81 is: 4,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.12 : 9,266.54 = 2,673.81 : x
  2. Step 2: Convert to fraction form
    6,182.12/9,266.54 = 2,673.81/x
  3. Step 3: Cross multiply
    6,182.12x = 9,266.54 × 2,673.81
  4. Step 4: Simplify right side
    6,182.12x = 24,776,953.95
  5. Step 5: Solve for x
    x = 24,776,953.95/6,182.12
  6. Step 6: Final answer
    x = 4,007.84

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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.