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Finding the Fourth Proportional to 9,416.97, 12,995.46 and 5,438.75

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Solution

The fourth proportional to 9,416.97, 12,995.46 and 5,438.75 is: 7,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.97 : 12,995.46 = 5,438.75 : x
  2. Step 2: Convert to fraction form
    9,416.97/12,995.46 = 5,438.75/x
  3. Step 3: Cross multiply
    9,416.97x = 12,995.46 × 5,438.75
  4. Step 4: Simplify right side
    9,416.97x = 70,678,993.10
  5. Step 5: Solve for x
    x = 70,678,993.10/9,416.97
  6. Step 6: Final answer
    x = 7,505.49

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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.