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Finding the Fourth Proportional to 6,364.63, 8,783.27 and 3,847.02

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Solution

The fourth proportional to 6,364.63, 8,783.27 and 3,847.02 is: 5,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.63 : 8,783.27 = 3,847.02 : x
  2. Step 2: Convert to fraction form
    6,364.63/8,783.27 = 3,847.02/x
  3. Step 3: Cross multiply
    6,364.63x = 8,783.27 × 3,847.02
  4. Step 4: Simplify right side
    6,364.63x = 33,789,415.36
  5. Step 5: Solve for x
    x = 33,789,415.36/6,364.63
  6. Step 6: Final answer
    x = 5,308.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.