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Finding the Fourth Proportional to 9,861.84, 14,791.14 and 3,287.16

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Solution

The fourth proportional to 9,861.84, 14,791.14 and 3,287.16 is: 4,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.84 : 14,791.14 = 3,287.16 : x
  2. Step 2: Convert to fraction form
    9,861.84/14,791.14 = 3,287.16/x
  3. Step 3: Cross multiply
    9,861.84x = 14,791.14 × 3,287.16
  4. Step 4: Simplify right side
    9,861.84x = 48,620,843.76
  5. Step 5: Solve for x
    x = 48,620,843.76/9,861.84
  6. Step 6: Final answer
    x = 4,930.20

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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.