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Finding the Fourth Proportional to 9,841.41, 14,762.25 and 5,486.54

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Solution

The fourth proportional to 9,841.41, 14,762.25 and 5,486.54 is: 8,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.41 : 14,762.25 = 5,486.54 : x
  2. Step 2: Convert to fraction form
    9,841.41/14,762.25 = 5,486.54/x
  3. Step 3: Cross multiply
    9,841.41x = 14,762.25 × 5,486.54
  4. Step 4: Simplify right side
    9,841.41x = 80,993,601.30
  5. Step 5: Solve for x
    x = 80,993,601.30/9,841.41
  6. Step 6: Final answer
    x = 8,229.88

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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.