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Finding the Fourth Proportional to 6,179.70, 9,269.55 and 6,114.90

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Solution

The fourth proportional to 6,179.70, 9,269.55 and 6,114.90 is: 9,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.70 : 9,269.55 = 6,114.90 : x
  2. Step 2: Convert to fraction form
    6,179.70/9,269.55 = 6,114.90/x
  3. Step 3: Cross multiply
    6,179.70x = 9,269.55 × 6,114.90
  4. Step 4: Simplify right side
    6,179.70x = 56,682,371.30
  5. Step 5: Solve for x
    x = 56,682,371.30/6,179.70
  6. Step 6: Final answer
    x = 9,172.35

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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.