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Finding the Fourth Proportional to 9,316.72, 12,857 and 5,067.78

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Solution

The fourth proportional to 9,316.72, 12,857 and 5,067.78 is: 6,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.72 : 12,857 = 5,067.78 : x
  2. Step 2: Convert to fraction form
    9,316.72/12,857 = 5,067.78/x
  3. Step 3: Cross multiply
    9,316.72x = 12,857 × 5,067.78
  4. Step 4: Simplify right side
    9,316.72x = 65,156,447.46
  5. Step 5: Solve for x
    x = 65,156,447.46/9,316.72
  6. Step 6: Final answer
    x = 6,993.50

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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.