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Finding the Fourth Proportional to 9,857.77, 14,787 and 3,194.11

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Solution

The fourth proportional to 9,857.77, 14,787 and 3,194.11 is: 4,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.77 : 14,787 = 3,194.11 : x
  2. Step 2: Convert to fraction form
    9,857.77/14,787 = 3,194.11/x
  3. Step 3: Cross multiply
    9,857.77x = 14,787 × 3,194.11
  4. Step 4: Simplify right side
    9,857.77x = 47,231,304.57
  5. Step 5: Solve for x
    x = 47,231,304.57/9,857.77
  6. Step 6: Final answer
    x = 4,791.28

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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.