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Finding the Fourth Proportional to 6,447.94, 8,899.77 and 3,962.50

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Solution

The fourth proportional to 6,447.94, 8,899.77 and 3,962.50 is: 5,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.94 : 8,899.77 = 3,962.50 : x
  2. Step 2: Convert to fraction form
    6,447.94/8,899.77 = 3,962.50/x
  3. Step 3: Cross multiply
    6,447.94x = 8,899.77 × 3,962.50
  4. Step 4: Simplify right side
    6,447.94x = 35,265,338.63
  5. Step 5: Solve for x
    x = 35,265,338.63/6,447.94
  6. Step 6: Final answer
    x = 5,469.24

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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.