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Finding the Fourth Proportional to 6,383.61, 9,555.62 and 3,454.65

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Solution

The fourth proportional to 6,383.61, 9,555.62 and 3,454.65 is: 5,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.61 : 9,555.62 = 3,454.65 : x
  2. Step 2: Convert to fraction form
    6,383.61/9,555.62 = 3,454.65/x
  3. Step 3: Cross multiply
    6,383.61x = 9,555.62 × 3,454.65
  4. Step 4: Simplify right side
    6,383.61x = 33,011,305.36
  5. Step 5: Solve for x
    x = 33,011,305.36/6,383.61
  6. Step 6: Final answer
    x = 5,171.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.