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Finding the Fourth Proportional to 9,352.34, 12,906.23 and 5,995.15

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Solution

The fourth proportional to 9,352.34, 12,906.23 and 5,995.15 is: 8,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.34 : 12,906.23 = 5,995.15 : x
  2. Step 2: Convert to fraction form
    9,352.34/12,906.23 = 5,995.15/x
  3. Step 3: Cross multiply
    9,352.34x = 12,906.23 × 5,995.15
  4. Step 4: Simplify right side
    9,352.34x = 77,374,722.54
  5. Step 5: Solve for x
    x = 77,374,722.54/9,352.34
  6. Step 6: Final answer
    x = 8,273.30

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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.