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Finding the Fourth Proportional to 9,796.68, 13,518.84 and 5,604.96

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Solution

The fourth proportional to 9,796.68, 13,518.84 and 5,604.96 is: 7,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.68 : 13,518.84 = 5,604.96 : x
  2. Step 2: Convert to fraction form
    9,796.68/13,518.84 = 5,604.96/x
  3. Step 3: Cross multiply
    9,796.68x = 13,518.84 × 5,604.96
  4. Step 4: Simplify right side
    9,796.68x = 75,772,557.45
  5. Step 5: Solve for x
    x = 75,772,557.45/9,796.68
  6. Step 6: Final answer
    x = 7,734.51

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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.