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Finding the Fourth Proportional to 6,451.06, 9,676.58 and 4,259.27

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Solution

The fourth proportional to 6,451.06, 9,676.58 and 4,259.27 is: 6,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.06 : 9,676.58 = 4,259.27 : x
  2. Step 2: Convert to fraction form
    6,451.06/9,676.58 = 4,259.27/x
  3. Step 3: Cross multiply
    6,451.06x = 9,676.58 × 4,259.27
  4. Step 4: Simplify right side
    6,451.06x = 41,215,166.90
  5. Step 5: Solve for x
    x = 41,215,166.90/6,451.06
  6. Step 6: Final answer
    x = 6,388.90

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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.