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Finding the Fourth Proportional to 8,208.36, 12,298.42 and 6,464.56

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Solution

The fourth proportional to 8,208.36, 12,298.42 and 6,464.56 is: 9,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.36 : 12,298.42 = 6,464.56 : x
  2. Step 2: Convert to fraction form
    8,208.36/12,298.42 = 6,464.56/x
  3. Step 3: Cross multiply
    8,208.36x = 12,298.42 × 6,464.56
  4. Step 4: Simplify right side
    8,208.36x = 79,503,874.00
  5. Step 5: Solve for x
    x = 79,503,874.00/8,208.36
  6. Step 6: Final answer
    x = 9,685.72

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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.