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Finding the Fourth Proportional to 6,404.02, 9,593.67 and 3,622.17

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Solution

The fourth proportional to 6,404.02, 9,593.67 and 3,622.17 is: 5,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.02 : 9,593.67 = 3,622.17 : x
  2. Step 2: Convert to fraction form
    6,404.02/9,593.67 = 3,622.17/x
  3. Step 3: Cross multiply
    6,404.02x = 9,593.67 × 3,622.17
  4. Step 4: Simplify right side
    6,404.02x = 34,749,953.22
  5. Step 5: Solve for x
    x = 34,749,953.22/6,404.02
  6. Step 6: Final answer
    x = 5,426.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.