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Finding the Fourth Proportional to 6,288.77, 9,428.49 and 3,166.49

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Solution

The fourth proportional to 6,288.77, 9,428.49 and 3,166.49 is: 4,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.77 : 9,428.49 = 3,166.49 : x
  2. Step 2: Convert to fraction form
    6,288.77/9,428.49 = 3,166.49/x
  3. Step 3: Cross multiply
    6,288.77x = 9,428.49 × 3,166.49
  4. Step 4: Simplify right side
    6,288.77x = 29,855,172.16
  5. Step 5: Solve for x
    x = 29,855,172.16/6,288.77
  6. Step 6: Final answer
    x = 4,747.38

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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.