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Finding the Fourth Proportional to 9,995.70, 13,793.84 and 5,458.23

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Solution

The fourth proportional to 9,995.70, 13,793.84 and 5,458.23 is: 7,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.70 : 13,793.84 = 5,458.23 : x
  2. Step 2: Convert to fraction form
    9,995.70/13,793.84 = 5,458.23/x
  3. Step 3: Cross multiply
    9,995.70x = 13,793.84 × 5,458.23
  4. Step 4: Simplify right side
    9,995.70x = 75,290,016.68
  5. Step 5: Solve for x
    x = 75,290,016.68/9,995.70
  6. Step 6: Final answer
    x = 7,532.24

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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.