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Finding the Fourth Proportional to 9,316.81, 12,857.06 and 5,067.77

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Solution

The fourth proportional to 9,316.81, 12,857.06 and 5,067.77 is: 6,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.81 : 12,857.06 = 5,067.77 : x
  2. Step 2: Convert to fraction form
    9,316.81/12,857.06 = 5,067.77/x
  3. Step 3: Cross multiply
    9,316.81x = 12,857.06 × 5,067.77
  4. Step 4: Simplify right side
    9,316.81x = 65,156,622.96
  5. Step 5: Solve for x
    x = 65,156,622.96/9,316.81
  6. Step 6: Final answer
    x = 6,993.45

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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.