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Finding the Fourth Proportional to 6,182.72, 9,273.84 and 2,285.60

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Solution

The fourth proportional to 6,182.72, 9,273.84 and 2,285.60 is: 3,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.72 : 9,273.84 = 2,285.60 : x
  2. Step 2: Convert to fraction form
    6,182.72/9,273.84 = 2,285.60/x
  3. Step 3: Cross multiply
    6,182.72x = 9,273.84 × 2,285.60
  4. Step 4: Simplify right side
    6,182.72x = 21,196,288.70
  5. Step 5: Solve for x
    x = 21,196,288.70/6,182.72
  6. Step 6: Final answer
    x = 3,428.31

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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.