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Finding the Fourth Proportional to 6,632.78, 9,161.79 and 5,764.46

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Solution

The fourth proportional to 6,632.78, 9,161.79 and 5,764.46 is: 7,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.78 : 9,161.79 = 5,764.46 : x
  2. Step 2: Convert to fraction form
    6,632.78/9,161.79 = 5,764.46/x
  3. Step 3: Cross multiply
    6,632.78x = 9,161.79 × 5,764.46
  4. Step 4: Simplify right side
    6,632.78x = 52,812,771.98
  5. Step 5: Solve for x
    x = 52,812,771.98/6,632.78
  6. Step 6: Final answer
    x = 7,962.39

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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.