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Finding the Fourth Proportional to 9,268.67, 12,789.79 and 5,289

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Solution

The fourth proportional to 9,268.67, 12,789.79 and 5,289 is: 7,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.67 : 12,789.79 = 5,289 : x
  2. Step 2: Convert to fraction form
    9,268.67/12,789.79 = 5,289/x
  3. Step 3: Cross multiply
    9,268.67x = 12,789.79 × 5,289
  4. Step 4: Simplify right side
    9,268.67x = 67,645,186.09
  5. Step 5: Solve for x
    x = 67,645,186.09/9,268.67
  6. Step 6: Final answer
    x = 7,298.27

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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.