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Finding the Fourth Proportional to 9,976.50, 13,769.39 and 6,996.92

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Solution

The fourth proportional to 9,976.50, 13,769.39 and 6,996.92 is: 9,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.50 : 13,769.39 = 6,996.92 : x
  2. Step 2: Convert to fraction form
    9,976.50/13,769.39 = 6,996.92/x
  3. Step 3: Cross multiply
    9,976.50x = 13,769.39 × 6,996.92
  4. Step 4: Simplify right side
    9,976.50x = 96,343,268.92
  5. Step 5: Solve for x
    x = 96,343,268.92/9,976.50
  6. Step 6: Final answer
    x = 9,657.02

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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.