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Finding the Fourth Proportional to 9,996.80, 13,793.28 and 5,802.56

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Solution

The fourth proportional to 9,996.80, 13,793.28 and 5,802.56 is: 8,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.80 : 13,793.28 = 5,802.56 : x
  2. Step 2: Convert to fraction form
    9,996.80/13,793.28 = 5,802.56/x
  3. Step 3: Cross multiply
    9,996.80x = 13,793.28 × 5,802.56
  4. Step 4: Simplify right side
    9,996.80x = 80,036,334.80
  5. Step 5: Solve for x
    x = 80,036,334.80/9,996.80
  6. Step 6: Final answer
    x = 8,006.20

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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.