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Finding the Fourth Proportional to 9,550.33, 14,333.69 and 5,394.42

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Solution

The fourth proportional to 9,550.33, 14,333.69 and 5,394.42 is: 8,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.33 : 14,333.69 = 5,394.42 : x
  2. Step 2: Convert to fraction form
    9,550.33/14,333.69 = 5,394.42/x
  3. Step 3: Cross multiply
    9,550.33x = 14,333.69 × 5,394.42
  4. Step 4: Simplify right side
    9,550.33x = 77,321,957.50
  5. Step 5: Solve for x
    x = 77,321,957.50/9,550.33
  6. Step 6: Final answer
    x = 8,096.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.