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Finding the Fourth Proportional to 9,500.94, 14,250.97 and 6,382.26

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Solution

The fourth proportional to 9,500.94, 14,250.97 and 6,382.26 is: 9,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.94 : 14,250.97 = 6,382.26 : x
  2. Step 2: Convert to fraction form
    9,500.94/14,250.97 = 6,382.26/x
  3. Step 3: Cross multiply
    9,500.94x = 14,250.97 × 6,382.26
  4. Step 4: Simplify right side
    9,500.94x = 90,953,395.79
  5. Step 5: Solve for x
    x = 90,953,395.79/9,500.94
  6. Step 6: Final answer
    x = 9,573.09

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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.