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Finding the Fourth Proportional to 9,522.36, 14,286.51 and 6,754.46

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Solution

The fourth proportional to 9,522.36, 14,286.51 and 6,754.46 is: 10,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.36 : 14,286.51 = 6,754.46 : x
  2. Step 2: Convert to fraction form
    9,522.36/14,286.51 = 6,754.46/x
  3. Step 3: Cross multiply
    9,522.36x = 14,286.51 × 6,754.46
  4. Step 4: Simplify right side
    9,522.36x = 96,497,588.90
  5. Step 5: Solve for x
    x = 96,497,588.90/9,522.36
  6. Step 6: Final answer
    x = 10,133.79

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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.