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Finding the Fourth Proportional to 6,401.76, 9,602.37 and 2,022.36

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Solution

The fourth proportional to 6,401.76, 9,602.37 and 2,022.36 is: 3,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.76 : 9,602.37 = 2,022.36 : x
  2. Step 2: Convert to fraction form
    6,401.76/9,602.37 = 2,022.36/x
  3. Step 3: Cross multiply
    6,401.76x = 9,602.37 × 2,022.36
  4. Step 4: Simplify right side
    6,401.76x = 19,419,448.99
  5. Step 5: Solve for x
    x = 19,419,448.99/6,401.76
  6. Step 6: Final answer
    x = 3,033.45

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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.