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Finding the Fourth Proportional to 9,800.24, 13,519.82 and 7,405.88

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Solution

The fourth proportional to 9,800.24, 13,519.82 and 7,405.88 is: 10,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.24 : 13,519.82 = 7,405.88 : x
  2. Step 2: Convert to fraction form
    9,800.24/13,519.82 = 7,405.88/x
  3. Step 3: Cross multiply
    9,800.24x = 13,519.82 × 7,405.88
  4. Step 4: Simplify right side
    9,800.24x = 100,126,164.54
  5. Step 5: Solve for x
    x = 100,126,164.54/9,800.24
  6. Step 6: Final answer
    x = 10,216.71

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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.