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Finding the Fourth Proportional to 6,287.09, 8,676.36 and 3,454.64

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Solution

The fourth proportional to 6,287.09, 8,676.36 and 3,454.64 is: 4,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.09 : 8,676.36 = 3,454.64 : x
  2. Step 2: Convert to fraction form
    6,287.09/8,676.36 = 3,454.64/x
  3. Step 3: Cross multiply
    6,287.09x = 8,676.36 × 3,454.64
  4. Step 4: Simplify right side
    6,287.09x = 29,973,656.93
  5. Step 5: Solve for x
    x = 29,973,656.93/6,287.09
  6. Step 6: Final answer
    x = 4,767.50

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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.