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Finding the Fourth Proportional to 6,821.93, 9,414.81 and 3,837.59

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Solution

The fourth proportional to 6,821.93, 9,414.81 and 3,837.59 is: 5,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.93 : 9,414.81 = 3,837.59 : x
  2. Step 2: Convert to fraction form
    6,821.93/9,414.81 = 3,837.59/x
  3. Step 3: Cross multiply
    6,821.93x = 9,414.81 × 3,837.59
  4. Step 4: Simplify right side
    6,821.93x = 36,130,166.76
  5. Step 5: Solve for x
    x = 36,130,166.76/6,821.93
  6. Step 6: Final answer
    x = 5,296.18

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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.