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Finding the Fourth Proportional to 6,864.01, 9,464.81 and 4,469.56

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Solution

The fourth proportional to 6,864.01, 9,464.81 and 4,469.56 is: 6,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.01 : 9,464.81 = 4,469.56 : x
  2. Step 2: Convert to fraction form
    6,864.01/9,464.81 = 4,469.56/x
  3. Step 3: Cross multiply
    6,864.01x = 9,464.81 × 4,469.56
  4. Step 4: Simplify right side
    6,864.01x = 42,303,536.18
  5. Step 5: Solve for x
    x = 42,303,536.18/6,864.01
  6. Step 6: Final answer
    x = 6,163.09

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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.