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Finding the Fourth Proportional to 9,400.32, 12,942.86 and 7,981.07

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Solution

The fourth proportional to 9,400.32, 12,942.86 and 7,981.07 is: 10,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.32 : 12,942.86 = 7,981.07 : x
  2. Step 2: Convert to fraction form
    9,400.32/12,942.86 = 7,981.07/x
  3. Step 3: Cross multiply
    9,400.32x = 12,942.86 × 7,981.07
  4. Step 4: Simplify right side
    9,400.32x = 103,297,767.04
  5. Step 5: Solve for x
    x = 103,297,767.04/9,400.32
  6. Step 6: Final answer
    x = 10,988.75

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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.