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Finding the Fourth Proportional to 9,439.38, 13,035.78 and 7,777.26

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Solution

The fourth proportional to 9,439.38, 13,035.78 and 7,777.26 is: 10,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.38 : 13,035.78 = 7,777.26 : x
  2. Step 2: Convert to fraction form
    9,439.38/13,035.78 = 7,777.26/x
  3. Step 3: Cross multiply
    9,439.38x = 13,035.78 × 7,777.26
  4. Step 4: Simplify right side
    9,439.38x = 101,382,650.36
  5. Step 5: Solve for x
    x = 101,382,650.36/9,439.38
  6. Step 6: Final answer
    x = 10,740.39

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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.