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Finding the Fourth Proportional to 9,386.25, 14,093.22 and 5,234.37

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Solution

The fourth proportional to 9,386.25, 14,093.22 and 5,234.37 is: 7,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.25 : 14,093.22 = 5,234.37 : x
  2. Step 2: Convert to fraction form
    9,386.25/14,093.22 = 5,234.37/x
  3. Step 3: Cross multiply
    9,386.25x = 14,093.22 × 5,234.37
  4. Step 4: Simplify right side
    9,386.25x = 73,769,127.97
  5. Step 5: Solve for x
    x = 73,769,127.97/9,386.25
  6. Step 6: Final answer
    x = 7,859.28

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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.