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Finding the Fourth Proportional to 6,367.42, 8,784.93 and 3,850.30

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Solution

The fourth proportional to 6,367.42, 8,784.93 and 3,850.30 is: 5,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.42 : 8,784.93 = 3,850.30 : x
  2. Step 2: Convert to fraction form
    6,367.42/8,784.93 = 3,850.30/x
  3. Step 3: Cross multiply
    6,367.42x = 8,784.93 × 3,850.30
  4. Step 4: Simplify right side
    6,367.42x = 33,824,615.98
  5. Step 5: Solve for x
    x = 33,824,615.98/6,367.42
  6. Step 6: Final answer
    x = 5,312.14

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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.