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Finding the Fourth Proportional to 9,164.75, 12,647.22 and 5,388.34

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Solution

The fourth proportional to 9,164.75, 12,647.22 and 5,388.34 is: 7,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.75 : 12,647.22 = 5,388.34 : x
  2. Step 2: Convert to fraction form
    9,164.75/12,647.22 = 5,388.34/x
  3. Step 3: Cross multiply
    9,164.75x = 12,647.22 × 5,388.34
  4. Step 4: Simplify right side
    9,164.75x = 68,147,521.41
  5. Step 5: Solve for x
    x = 68,147,521.41/9,164.75
  6. Step 6: Final answer
    x = 7,435.83

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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.