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Finding the Fourth Proportional to 9,222.04, 12,711.96 and 7,727.32

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Solution

The fourth proportional to 9,222.04, 12,711.96 and 7,727.32 is: 10,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.04 : 12,711.96 = 7,727.32 : x
  2. Step 2: Convert to fraction form
    9,222.04/12,711.96 = 7,727.32/x
  3. Step 3: Cross multiply
    9,222.04x = 12,711.96 × 7,727.32
  4. Step 4: Simplify right side
    9,222.04x = 98,229,382.75
  5. Step 5: Solve for x
    x = 98,229,382.75/9,222.04
  6. Step 6: Final answer
    x = 10,651.59

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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.