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Finding the Fourth Proportional to 9,258.48, 12,777.48 and 5,067

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Solution

The fourth proportional to 9,258.48, 12,777.48 and 5,067 is: 6,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.48 : 12,777.48 = 5,067 : x
  2. Step 2: Convert to fraction form
    9,258.48/12,777.48 = 5,067/x
  3. Step 3: Cross multiply
    9,258.48x = 12,777.48 × 5,067
  4. Step 4: Simplify right side
    9,258.48x = 64,743,491.16
  5. Step 5: Solve for x
    x = 64,743,491.16/9,258.48
  6. Step 6: Final answer
    x = 6,992.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.