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Finding the Fourth Proportional to 6,306.61, 9,450.19 and 3,993.25

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Solution

The fourth proportional to 6,306.61, 9,450.19 and 3,993.25 is: 5,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.61 : 9,450.19 = 3,993.25 : x
  2. Step 2: Convert to fraction form
    6,306.61/9,450.19 = 3,993.25/x
  3. Step 3: Cross multiply
    6,306.61x = 9,450.19 × 3,993.25
  4. Step 4: Simplify right side
    6,306.61x = 37,736,971.22
  5. Step 5: Solve for x
    x = 37,736,971.22/6,306.61
  6. Step 6: Final answer
    x = 5,983.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.