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Finding the Fourth Proportional to 6,285.75, 8,673.36 and 3,632.64

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Solution

The fourth proportional to 6,285.75, 8,673.36 and 3,632.64 is: 5,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.75 : 8,673.36 = 3,632.64 : x
  2. Step 2: Convert to fraction form
    6,285.75/8,673.36 = 3,632.64/x
  3. Step 3: Cross multiply
    6,285.75x = 8,673.36 × 3,632.64
  4. Step 4: Simplify right side
    6,285.75x = 31,507,194.47
  5. Step 5: Solve for x
    x = 31,507,194.47/6,285.75
  6. Step 6: Final answer
    x = 5,012.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.