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Finding the Fourth Proportional to 9,451.14, 13,042 and 5,471.96

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Solution

The fourth proportional to 9,451.14, 13,042 and 5,471.96 is: 7,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.14 : 13,042 = 5,471.96 : x
  2. Step 2: Convert to fraction form
    9,451.14/13,042 = 5,471.96/x
  3. Step 3: Cross multiply
    9,451.14x = 13,042 × 5,471.96
  4. Step 4: Simplify right side
    9,451.14x = 71,365,302.32
  5. Step 5: Solve for x
    x = 71,365,302.32/9,451.14
  6. Step 6: Final answer
    x = 7,550.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.