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Finding the Fourth Proportional to 9,796.80, 13,519.48 and 5,605

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Solution

The fourth proportional to 9,796.80, 13,519.48 and 5,605 is: 7,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.80 : 13,519.48 = 5,605 : x
  2. Step 2: Convert to fraction form
    9,796.80/13,519.48 = 5,605/x
  3. Step 3: Cross multiply
    9,796.80x = 13,519.48 × 5,605
  4. Step 4: Simplify right side
    9,796.80x = 75,776,685.40
  5. Step 5: Solve for x
    x = 75,776,685.40/9,796.80
  6. Step 6: Final answer
    x = 7,734.84

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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.