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Finding the Fourth Proportional to 6,794.58, 9,364.50 and 5,847.96

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Solution

The fourth proportional to 6,794.58, 9,364.50 and 5,847.96 is: 8,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.58 : 9,364.50 = 5,847.96 : x
  2. Step 2: Convert to fraction form
    6,794.58/9,364.50 = 5,847.96/x
  3. Step 3: Cross multiply
    6,794.58x = 9,364.50 × 5,847.96
  4. Step 4: Simplify right side
    6,794.58x = 54,763,221.42
  5. Step 5: Solve for x
    x = 54,763,221.42/6,794.58
  6. Step 6: Final answer
    x = 8,059.84

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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.