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Finding the Fourth Proportional to 6,147.51, 9,221.26 and 2,252.22

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Solution

The fourth proportional to 6,147.51, 9,221.26 and 2,252.22 is: 3,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.51 : 9,221.26 = 2,252.22 : x
  2. Step 2: Convert to fraction form
    6,147.51/9,221.26 = 2,252.22/x
  3. Step 3: Cross multiply
    6,147.51x = 9,221.26 × 2,252.22
  4. Step 4: Simplify right side
    6,147.51x = 20,768,306.20
  5. Step 5: Solve for x
    x = 20,768,306.20/6,147.51
  6. Step 6: Final answer
    x = 3,378.33

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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.