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Finding the Fourth Proportional to 6,843.10, 9,443.47 and 3,699.28

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Solution

The fourth proportional to 6,843.10, 9,443.47 and 3,699.28 is: 5,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.10 : 9,443.47 = 3,699.28 : x
  2. Step 2: Convert to fraction form
    6,843.10/9,443.47 = 3,699.28/x
  3. Step 3: Cross multiply
    6,843.10x = 9,443.47 × 3,699.28
  4. Step 4: Simplify right side
    6,843.10x = 34,934,039.70
  5. Step 5: Solve for x
    x = 34,934,039.70/6,843.10
  6. Step 6: Final answer
    x = 5,105.00

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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.