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Finding the Fourth Proportional to 9,258.82, 12,777.17 and 5,067.07

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Solution

The fourth proportional to 9,258.82, 12,777.17 and 5,067.07 is: 6,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.82 : 12,777.17 = 5,067.07 : x
  2. Step 2: Convert to fraction form
    9,258.82/12,777.17 = 5,067.07/x
  3. Step 3: Cross multiply
    9,258.82x = 12,777.17 × 5,067.07
  4. Step 4: Simplify right side
    9,258.82x = 64,742,757.51
  5. Step 5: Solve for x
    x = 64,742,757.51/9,258.82
  6. Step 6: Final answer
    x = 6,992.55

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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.