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Finding the Fourth Proportional to 6,182.06, 9,276.87 and 2,483.60

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Solution

The fourth proportional to 6,182.06, 9,276.87 and 2,483.60 is: 3,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.06 : 9,276.87 = 2,483.60 : x
  2. Step 2: Convert to fraction form
    6,182.06/9,276.87 = 2,483.60/x
  3. Step 3: Cross multiply
    6,182.06x = 9,276.87 × 2,483.60
  4. Step 4: Simplify right side
    6,182.06x = 23,040,034.33
  5. Step 5: Solve for x
    x = 23,040,034.33/6,182.06
  6. Step 6: Final answer
    x = 3,726.92

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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.