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Finding the Fourth Proportional to 8,653.37, 11,946.24 and 6,933.16

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Solution

The fourth proportional to 8,653.37, 11,946.24 and 6,933.16 is: 9,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.37 : 11,946.24 = 6,933.16 : x
  2. Step 2: Convert to fraction form
    8,653.37/11,946.24 = 6,933.16/x
  3. Step 3: Cross multiply
    8,653.37x = 11,946.24 × 6,933.16
  4. Step 4: Simplify right side
    8,653.37x = 82,825,133.59
  5. Step 5: Solve for x
    x = 82,825,133.59/8,653.37
  6. Step 6: Final answer
    x = 9,571.43

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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.