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Finding the Fourth Proportional to 6,201.93, 9,304.50 and 3,602.64

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Solution

The fourth proportional to 6,201.93, 9,304.50 and 3,602.64 is: 5,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.93 : 9,304.50 = 3,602.64 : x
  2. Step 2: Convert to fraction form
    6,201.93/9,304.50 = 3,602.64/x
  3. Step 3: Cross multiply
    6,201.93x = 9,304.50 × 3,602.64
  4. Step 4: Simplify right side
    6,201.93x = 33,520,763.88
  5. Step 5: Solve for x
    x = 33,520,763.88/6,201.93
  6. Step 6: Final answer
    x = 5,404.89

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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.