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Finding the Fourth Proportional to 9,222.77, 12,727.04 and 5,447.15

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Solution

The fourth proportional to 9,222.77, 12,727.04 and 5,447.15 is: 7,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.77 : 12,727.04 = 5,447.15 : x
  2. Step 2: Convert to fraction form
    9,222.77/12,727.04 = 5,447.15/x
  3. Step 3: Cross multiply
    9,222.77x = 12,727.04 × 5,447.15
  4. Step 4: Simplify right side
    9,222.77x = 69,326,141.37
  5. Step 5: Solve for x
    x = 69,326,141.37/9,222.77
  6. Step 6: Final answer
    x = 7,516.84

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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.