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Finding the Fourth Proportional to 6,975.88, 9,624.36 and 3,950.59

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Solution

The fourth proportional to 6,975.88, 9,624.36 and 3,950.59 is: 5,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.88 : 9,624.36 = 3,950.59 : x
  2. Step 2: Convert to fraction form
    6,975.88/9,624.36 = 3,950.59/x
  3. Step 3: Cross multiply
    6,975.88x = 9,624.36 × 3,950.59
  4. Step 4: Simplify right side
    6,975.88x = 38,021,900.37
  5. Step 5: Solve for x
    x = 38,021,900.37/6,975.88
  6. Step 6: Final answer
    x = 5,450.48

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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.