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Finding the Fourth Proportional to 6,449.04, 8,893.48 and 4,086.96

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Solution

The fourth proportional to 6,449.04, 8,893.48 and 4,086.96 is: 5,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.04 : 8,893.48 = 4,086.96 : x
  2. Step 2: Convert to fraction form
    6,449.04/8,893.48 = 4,086.96/x
  3. Step 3: Cross multiply
    6,449.04x = 8,893.48 × 4,086.96
  4. Step 4: Simplify right side
    6,449.04x = 36,347,297.02
  5. Step 5: Solve for x
    x = 36,347,297.02/6,449.04
  6. Step 6: Final answer
    x = 5,636.08

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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.