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Finding the Fourth Proportional to 9,268.88, 12,791.05 and 5,077.13

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Solution

The fourth proportional to 9,268.88, 12,791.05 and 5,077.13 is: 7,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.88 : 12,791.05 = 5,077.13 : x
  2. Step 2: Convert to fraction form
    9,268.88/12,791.05 = 5,077.13/x
  3. Step 3: Cross multiply
    9,268.88x = 12,791.05 × 5,077.13
  4. Step 4: Simplify right side
    9,268.88x = 64,941,747.04
  5. Step 5: Solve for x
    x = 64,941,747.04/9,268.88
  6. Step 6: Final answer
    x = 7,006.43

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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.