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Finding the Fourth Proportional to 6,173.30, 9,261 and 3,401.30

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Solution

The fourth proportional to 6,173.30, 9,261 and 3,401.30 is: 5,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.30 : 9,261 = 3,401.30 : x
  2. Step 2: Convert to fraction form
    6,173.30/9,261 = 3,401.30/x
  3. Step 3: Cross multiply
    6,173.30x = 9,261 × 3,401.30
  4. Step 4: Simplify right side
    6,173.30x = 31,499,439.30
  5. Step 5: Solve for x
    x = 31,499,439.30/6,173.30
  6. Step 6: Final answer
    x = 5,102.53

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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.