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Finding the Fourth Proportional to 6,180.92, 9,273.80 and 2,285.64

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Solution

The fourth proportional to 6,180.92, 9,273.80 and 2,285.64 is: 3,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.92 : 9,273.80 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    6,180.92/9,273.80 = 2,285.64/x
  3. Step 3: Cross multiply
    6,180.92x = 9,273.80 × 2,285.64
  4. Step 4: Simplify right side
    6,180.92x = 21,196,568.23
  5. Step 5: Solve for x
    x = 21,196,568.23/6,180.92
  6. Step 6: Final answer
    x = 3,429.35

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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.