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Finding the Fourth Proportional to 9,890.15, 14,824.70 and 6,769.27

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Solution

The fourth proportional to 9,890.15, 14,824.70 and 6,769.27 is: 10,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.15 : 14,824.70 = 6,769.27 : x
  2. Step 2: Convert to fraction form
    9,890.15/14,824.70 = 6,769.27/x
  3. Step 3: Cross multiply
    9,890.15x = 14,824.70 × 6,769.27
  4. Step 4: Simplify right side
    9,890.15x = 100,352,407.04
  5. Step 5: Solve for x
    x = 100,352,407.04/9,890.15
  6. Step 6: Final answer
    x = 10,146.71

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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.