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Finding the Fourth Proportional to 6,383.92, 8,815.62 and 4,809.28

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Solution

The fourth proportional to 6,383.92, 8,815.62 and 4,809.28 is: 6,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.92 : 8,815.62 = 4,809.28 : x
  2. Step 2: Convert to fraction form
    6,383.92/8,815.62 = 4,809.28/x
  3. Step 3: Cross multiply
    6,383.92x = 8,815.62 × 4,809.28
  4. Step 4: Simplify right side
    6,383.92x = 42,396,784.95
  5. Step 5: Solve for x
    x = 42,396,784.95/6,383.92
  6. Step 6: Final answer
    x = 6,641.18

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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.