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Finding the Fourth Proportional to 6,903.40, 9,527.09 and 5,198.85

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Solution

The fourth proportional to 6,903.40, 9,527.09 and 5,198.85 is: 7,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.40 : 9,527.09 = 5,198.85 : x
  2. Step 2: Convert to fraction form
    6,903.40/9,527.09 = 5,198.85/x
  3. Step 3: Cross multiply
    6,903.40x = 9,527.09 × 5,198.85
  4. Step 4: Simplify right side
    6,903.40x = 49,529,885.85
  5. Step 5: Solve for x
    x = 49,529,885.85/6,903.40
  6. Step 6: Final answer
    x = 7,174.71

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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.