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Finding the Fourth Proportional to 9,268.57, 12,796.44 and 7,140.10

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Solution

The fourth proportional to 9,268.57, 12,796.44 and 7,140.10 is: 9,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.57 : 12,796.44 = 7,140.10 : x
  2. Step 2: Convert to fraction form
    9,268.57/12,796.44 = 7,140.10/x
  3. Step 3: Cross multiply
    9,268.57x = 12,796.44 × 7,140.10
  4. Step 4: Simplify right side
    9,268.57x = 91,367,797.26
  5. Step 5: Solve for x
    x = 91,367,797.26/9,268.57
  6. Step 6: Final answer
    x = 9,857.81

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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.