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Finding the Fourth Proportional to 6,830.54, 9,426.31 and 3,805.87

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Solution

The fourth proportional to 6,830.54, 9,426.31 and 3,805.87 is: 5,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.54 : 9,426.31 = 3,805.87 : x
  2. Step 2: Convert to fraction form
    6,830.54/9,426.31 = 3,805.87/x
  3. Step 3: Cross multiply
    6,830.54x = 9,426.31 × 3,805.87
  4. Step 4: Simplify right side
    6,830.54x = 35,875,249.91
  5. Step 5: Solve for x
    x = 35,875,249.91/6,830.54
  6. Step 6: Final answer
    x = 5,252.18

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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.