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Finding the Fourth Proportional to 6,120.84, 9,179.97 and 1,737.12

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Solution

The fourth proportional to 6,120.84, 9,179.97 and 1,737.12 is: 2,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.84 : 9,179.97 = 1,737.12 : x
  2. Step 2: Convert to fraction form
    6,120.84/9,179.97 = 1,737.12/x
  3. Step 3: Cross multiply
    6,120.84x = 9,179.97 × 1,737.12
  4. Step 4: Simplify right side
    6,120.84x = 15,946,709.49
  5. Step 5: Solve for x
    x = 15,946,709.49/6,120.84
  6. Step 6: Final answer
    x = 2,605.31

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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.