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Finding the Fourth Proportional to 9,497.26, 14,232.03 and 6,722.43

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Solution

The fourth proportional to 9,497.26, 14,232.03 and 6,722.43 is: 10,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.26 : 14,232.03 = 6,722.43 : x
  2. Step 2: Convert to fraction form
    9,497.26/14,232.03 = 6,722.43/x
  3. Step 3: Cross multiply
    9,497.26x = 14,232.03 × 6,722.43
  4. Step 4: Simplify right side
    9,497.26x = 95,673,825.43
  5. Step 5: Solve for x
    x = 95,673,825.43/9,497.26
  6. Step 6: Final answer
    x = 10,073.83

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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.