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Finding the Fourth Proportional to 9,268.84, 12,791.01 and 5,077

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Solution

The fourth proportional to 9,268.84, 12,791.01 and 5,077 is: 7,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.84 : 12,791.01 = 5,077 : x
  2. Step 2: Convert to fraction form
    9,268.84/12,791.01 = 5,077/x
  3. Step 3: Cross multiply
    9,268.84x = 12,791.01 × 5,077
  4. Step 4: Simplify right side
    9,268.84x = 64,939,957.77
  5. Step 5: Solve for x
    x = 64,939,957.77/9,268.84
  6. Step 6: Final answer
    x = 7,006.27

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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.