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Finding the Fourth Proportional to 6,109.94, 9,166.26 and 2,214.65

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Solution

The fourth proportional to 6,109.94, 9,166.26 and 2,214.65 is: 3,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.94 : 9,166.26 = 2,214.65 : x
  2. Step 2: Convert to fraction form
    6,109.94/9,166.26 = 2,214.65/x
  3. Step 3: Cross multiply
    6,109.94x = 9,166.26 × 2,214.65
  4. Step 4: Simplify right side
    6,109.94x = 20,300,057.71
  5. Step 5: Solve for x
    x = 20,300,057.71/6,109.94
  6. Step 6: Final answer
    x = 3,322.46

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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.