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Finding the Fourth Proportional to 6,441.36, 8,893 and 6,044.24

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Solution

The fourth proportional to 6,441.36, 8,893 and 6,044.24 is: 8,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.36 : 8,893 = 6,044.24 : x
  2. Step 2: Convert to fraction form
    6,441.36/8,893 = 6,044.24/x
  3. Step 3: Cross multiply
    6,441.36x = 8,893 × 6,044.24
  4. Step 4: Simplify right side
    6,441.36x = 53,751,426.32
  5. Step 5: Solve for x
    x = 53,751,426.32/6,441.36
  6. Step 6: Final answer
    x = 8,344.73

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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.