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Finding the Fourth Proportional to 6,447.94, 8,893.12 and 4,322.77

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Solution

The fourth proportional to 6,447.94, 8,893.12 and 4,322.77 is: 5,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.94 : 8,893.12 = 4,322.77 : x
  2. Step 2: Convert to fraction form
    6,447.94/8,893.12 = 4,322.77/x
  3. Step 3: Cross multiply
    6,447.94x = 8,893.12 × 4,322.77
  4. Step 4: Simplify right side
    6,447.94x = 38,442,912.34
  5. Step 5: Solve for x
    x = 38,442,912.34/6,447.94
  6. Step 6: Final answer
    x = 5,962.05

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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.