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Finding the Fourth Proportional to 9,608.80, 14,414.38 and 3,284.72

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Solution

The fourth proportional to 9,608.80, 14,414.38 and 3,284.72 is: 4,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.80 : 14,414.38 = 3,284.72 : x
  2. Step 2: Convert to fraction form
    9,608.80/14,414.38 = 3,284.72/x
  3. Step 3: Cross multiply
    9,608.80x = 14,414.38 × 3,284.72
  4. Step 4: Simplify right side
    9,608.80x = 47,347,202.27
  5. Step 5: Solve for x
    x = 47,347,202.27/9,608.80
  6. Step 6: Final answer
    x = 4,927.48

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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.