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Finding the Fourth Proportional to 6,140.81, 9,212.84 and 2,245.25

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Solution

The fourth proportional to 6,140.81, 9,212.84 and 2,245.25 is: 3,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.81 : 9,212.84 = 2,245.25 : x
  2. Step 2: Convert to fraction form
    6,140.81/9,212.84 = 2,245.25/x
  3. Step 3: Cross multiply
    6,140.81x = 9,212.84 × 2,245.25
  4. Step 4: Simplify right side
    6,140.81x = 20,685,129.01
  5. Step 5: Solve for x
    x = 20,685,129.01/6,140.81
  6. Step 6: Final answer
    x = 3,368.47

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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.