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Finding the Fourth Proportional to 6,401.99, 9,602.87 and 2,241.90

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Solution

The fourth proportional to 6,401.99, 9,602.87 and 2,241.90 is: 3,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.99 : 9,602.87 = 2,241.90 : x
  2. Step 2: Convert to fraction form
    6,401.99/9,602.87 = 2,241.90/x
  3. Step 3: Cross multiply
    6,401.99x = 9,602.87 × 2,241.90
  4. Step 4: Simplify right side
    6,401.99x = 21,528,693.20
  5. Step 5: Solve for x
    x = 21,528,693.20/6,401.99
  6. Step 6: Final answer
    x = 3,362.81

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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.