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Finding the Fourth Proportional to 6,410.97, 8,843.76 and 4,418.10

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Solution

The fourth proportional to 6,410.97, 8,843.76 and 4,418.10 is: 6,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.97 : 8,843.76 = 4,418.10 : x
  2. Step 2: Convert to fraction form
    6,410.97/8,843.76 = 4,418.10/x
  3. Step 3: Cross multiply
    6,410.97x = 8,843.76 × 4,418.10
  4. Step 4: Simplify right side
    6,410.97x = 39,072,616.06
  5. Step 5: Solve for x
    x = 39,072,616.06/6,410.97
  6. Step 6: Final answer
    x = 6,094.65

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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.