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Finding the Fourth Proportional to 9,259, 12,777.42 and 5,067.25

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Solution

The fourth proportional to 9,259, 12,777.42 and 5,067.25 is: 6,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259 : 12,777.42 = 5,067.25 : x
  2. Step 2: Convert to fraction form
    9,259/12,777.42 = 5,067.25/x
  3. Step 3: Cross multiply
    9,259x = 12,777.42 × 5,067.25
  4. Step 4: Simplify right side
    9,259x = 64,746,381.50
  5. Step 5: Solve for x
    x = 64,746,381.50/9,259
  6. Step 6: Final answer
    x = 6,992.81

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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.