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Finding the Fourth Proportional to 9,416.97, 12,995.78 and 5,226.03

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Solution

The fourth proportional to 9,416.97, 12,995.78 and 5,226.03 is: 7,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.97 : 12,995.78 = 5,226.03 : x
  2. Step 2: Convert to fraction form
    9,416.97/12,995.78 = 5,226.03/x
  3. Step 3: Cross multiply
    9,416.97x = 12,995.78 × 5,226.03
  4. Step 4: Simplify right side
    9,416.97x = 67,916,310.02
  5. Step 5: Solve for x
    x = 67,916,310.02/9,416.97
  6. Step 6: Final answer
    x = 7,212.12

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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.