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Finding the Fourth Proportional to 9,992.77, 13,791.16 and 7,470.43

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Solution

The fourth proportional to 9,992.77, 13,791.16 and 7,470.43 is: 10,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.77 : 13,791.16 = 7,470.43 : x
  2. Step 2: Convert to fraction form
    9,992.77/13,791.16 = 7,470.43/x
  3. Step 3: Cross multiply
    9,992.77x = 13,791.16 × 7,470.43
  4. Step 4: Simplify right side
    9,992.77x = 103,025,870.26
  5. Step 5: Solve for x
    x = 103,025,870.26/9,992.77
  6. Step 6: Final answer
    x = 10,310.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.