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Finding the Fourth Proportional to 6,084.32, 8,392.32 and 4,195.96

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Solution

The fourth proportional to 6,084.32, 8,392.32 and 4,195.96 is: 5,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.32 : 8,392.32 = 4,195.96 : x
  2. Step 2: Convert to fraction form
    6,084.32/8,392.32 = 4,195.96/x
  3. Step 3: Cross multiply
    6,084.32x = 8,392.32 × 4,195.96
  4. Step 4: Simplify right side
    6,084.32x = 35,213,818.05
  5. Step 5: Solve for x
    x = 35,213,818.05/6,084.32
  6. Step 6: Final answer
    x = 5,787.64

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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.