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Finding the Fourth Proportional to 9,628.80, 13,286.96 and 5,649.36

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Solution

The fourth proportional to 9,628.80, 13,286.96 and 5,649.36 is: 7,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.80 : 13,286.96 = 5,649.36 : x
  2. Step 2: Convert to fraction form
    9,628.80/13,286.96 = 5,649.36/x
  3. Step 3: Cross multiply
    9,628.80x = 13,286.96 × 5,649.36
  4. Step 4: Simplify right side
    9,628.80x = 75,062,820.35
  5. Step 5: Solve for x
    x = 75,062,820.35/9,628.80
  6. Step 6: Final answer
    x = 7,795.66

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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.