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Finding the Fourth Proportional to 9,328.34, 12,867.46 and 5,969.97

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Solution

The fourth proportional to 9,328.34, 12,867.46 and 5,969.97 is: 8,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.34 : 12,867.46 = 5,969.97 : x
  2. Step 2: Convert to fraction form
    9,328.34/12,867.46 = 5,969.97/x
  3. Step 3: Cross multiply
    9,328.34x = 12,867.46 × 5,969.97
  4. Step 4: Simplify right side
    9,328.34x = 76,818,335.25
  5. Step 5: Solve for x
    x = 76,818,335.25/9,328.34
  6. Step 6: Final answer
    x = 8,234.94

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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.