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Finding the Fourth Proportional to 6,483.94, 8,945.76 and 3,832.24

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Solution

The fourth proportional to 6,483.94, 8,945.76 and 3,832.24 is: 5,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.94 : 8,945.76 = 3,832.24 : x
  2. Step 2: Convert to fraction form
    6,483.94/8,945.76 = 3,832.24/x
  3. Step 3: Cross multiply
    6,483.94x = 8,945.76 × 3,832.24
  4. Step 4: Simplify right side
    6,483.94x = 34,282,299.30
  5. Step 5: Solve for x
    x = 34,282,299.30/6,483.94
  6. Step 6: Final answer
    x = 5,287.26

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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.