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Finding the Fourth Proportional to 6,392.64, 8,819.76 and 3,873.84

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Solution

The fourth proportional to 6,392.64, 8,819.76 and 3,873.84 is: 5,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.64 : 8,819.76 = 3,873.84 : x
  2. Step 2: Convert to fraction form
    6,392.64/8,819.76 = 3,873.84/x
  3. Step 3: Cross multiply
    6,392.64x = 8,819.76 × 3,873.84
  4. Step 4: Simplify right side
    6,392.64x = 34,166,339.08
  5. Step 5: Solve for x
    x = 34,166,339.08/6,392.64
  6. Step 6: Final answer
    x = 5,344.64

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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.