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Finding the Fourth Proportional to 6,404.33, 9,594.14 and 3,622.49

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Solution

The fourth proportional to 6,404.33, 9,594.14 and 3,622.49 is: 5,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.33 : 9,594.14 = 3,622.49 : x
  2. Step 2: Convert to fraction form
    6,404.33/9,594.14 = 3,622.49/x
  3. Step 3: Cross multiply
    6,404.33x = 9,594.14 × 3,622.49
  4. Step 4: Simplify right side
    6,404.33x = 34,754,628.24
  5. Step 5: Solve for x
    x = 34,754,628.24/6,404.33
  6. Step 6: Final answer
    x = 5,426.74

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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.