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Finding the Fourth Proportional to 6,483.92, 8,945.72 and 3,832.24

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Solution

The fourth proportional to 6,483.92, 8,945.72 and 3,832.24 is: 5,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.92 : 8,945.72 = 3,832.24 : x
  2. Step 2: Convert to fraction form
    6,483.92/8,945.72 = 3,832.24/x
  3. Step 3: Cross multiply
    6,483.92x = 8,945.72 × 3,832.24
  4. Step 4: Simplify right side
    6,483.92x = 34,282,146.01
  5. Step 5: Solve for x
    x = 34,282,146.01/6,483.92
  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.