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Finding the Fourth Proportional to 6,172.05, 9,269.19 and 5,677.54

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Solution

The fourth proportional to 6,172.05, 9,269.19 and 5,677.54 is: 8,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.05 : 9,269.19 = 5,677.54 : x
  2. Step 2: Convert to fraction form
    6,172.05/9,269.19 = 5,677.54/x
  3. Step 3: Cross multiply
    6,172.05x = 9,269.19 × 5,677.54
  4. Step 4: Simplify right side
    6,172.05x = 52,626,196.99
  5. Step 5: Solve for x
    x = 52,626,196.99/6,172.05
  6. Step 6: Final answer
    x = 8,526.53

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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.