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Finding the Fourth Proportional to 6,401.01, 9,602.83 and 3,628.92

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Solution

The fourth proportional to 6,401.01, 9,602.83 and 3,628.92 is: 5,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.01 : 9,602.83 = 3,628.92 : x
  2. Step 2: Convert to fraction form
    6,401.01/9,602.83 = 3,628.92/x
  3. Step 3: Cross multiply
    6,401.01x = 9,602.83 × 3,628.92
  4. Step 4: Simplify right side
    6,401.01x = 34,847,907.71
  5. Step 5: Solve for x
    x = 34,847,907.71/6,401.01
  6. Step 6: Final answer
    x = 5,444.12

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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.