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Finding the Fourth Proportional to 9,566.92, 14,351.20 and 2,641.42

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Solution

The fourth proportional to 9,566.92, 14,351.20 and 2,641.42 is: 3,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.92 : 14,351.20 = 2,641.42 : x
  2. Step 2: Convert to fraction form
    9,566.92/14,351.20 = 2,641.42/x
  3. Step 3: Cross multiply
    9,566.92x = 14,351.20 × 2,641.42
  4. Step 4: Simplify right side
    9,566.92x = 37,907,546.70
  5. Step 5: Solve for x
    x = 37,907,546.70/9,566.92
  6. Step 6: Final answer
    x = 3,962.36

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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.