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Finding the Fourth Proportional to 6,632.77, 9,934.45 and 3,852.55

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Solution

The fourth proportional to 6,632.77, 9,934.45 and 3,852.55 is: 5,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.77 : 9,934.45 = 3,852.55 : x
  2. Step 2: Convert to fraction form
    6,632.77/9,934.45 = 3,852.55/x
  3. Step 3: Cross multiply
    6,632.77x = 9,934.45 × 3,852.55
  4. Step 4: Simplify right side
    6,632.77x = 38,272,912.25
  5. Step 5: Solve for x
    x = 38,272,912.25/6,632.77
  6. Step 6: Final answer
    x = 5,770.28

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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.