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Finding the Fourth Proportional to 6,114.46, 9,172.30 and 2,219.17

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Solution

The fourth proportional to 6,114.46, 9,172.30 and 2,219.17 is: 3,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.46 : 9,172.30 = 2,219.17 : x
  2. Step 2: Convert to fraction form
    6,114.46/9,172.30 = 2,219.17/x
  3. Step 3: Cross multiply
    6,114.46x = 9,172.30 × 2,219.17
  4. Step 4: Simplify right side
    6,114.46x = 20,354,892.99
  5. Step 5: Solve for x
    x = 20,354,892.99/6,114.46
  6. Step 6: Final answer
    x = 3,328.98

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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.