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Finding the Fourth Proportional to 6,352.74, 9,518.72 and 3,846.33

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Solution

The fourth proportional to 6,352.74, 9,518.72 and 3,846.33 is: 5,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.74 : 9,518.72 = 3,846.33 : x
  2. Step 2: Convert to fraction form
    6,352.74/9,518.72 = 3,846.33/x
  3. Step 3: Cross multiply
    6,352.74x = 9,518.72 × 3,846.33
  4. Step 4: Simplify right side
    6,352.74x = 36,612,119.07
  5. Step 5: Solve for x
    x = 36,612,119.07/6,352.74
  6. Step 6: Final answer
    x = 5,763.20

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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.