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Finding the Fourth Proportional to 6,166.69, 9,250.14 and 2,006.68

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Solution

The fourth proportional to 6,166.69, 9,250.14 and 2,006.68 is: 3,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.69 : 9,250.14 = 2,006.68 : x
  2. Step 2: Convert to fraction form
    6,166.69/9,250.14 = 2,006.68/x
  3. Step 3: Cross multiply
    6,166.69x = 9,250.14 × 2,006.68
  4. Step 4: Simplify right side
    6,166.69x = 18,562,047.81
  5. Step 5: Solve for x
    x = 18,562,047.81/6,166.69
  6. Step 6: Final answer
    x = 3,010.05

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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.