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Finding the Fourth Proportional to 6,232.66, 9,362.56 and 3,768.64

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Solution

The fourth proportional to 6,232.66, 9,362.56 and 3,768.64 is: 5,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.66 : 9,362.56 = 3,768.64 : x
  2. Step 2: Convert to fraction form
    6,232.66/9,362.56 = 3,768.64/x
  3. Step 3: Cross multiply
    6,232.66x = 9,362.56 × 3,768.64
  4. Step 4: Simplify right side
    6,232.66x = 35,284,118.12
  5. Step 5: Solve for x
    x = 35,284,118.12/6,232.66
  6. Step 6: Final answer
    x = 5,661.17

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Why These Related Problems?

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