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Finding the Fourth Proportional to 7,052.25, 9,733.14 and 4,067.50

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Solution

The fourth proportional to 7,052.25, 9,733.14 and 4,067.50 is: 5,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.25 : 9,733.14 = 4,067.50 : x
  2. Step 2: Convert to fraction form
    7,052.25/9,733.14 = 4,067.50/x
  3. Step 3: Cross multiply
    7,052.25x = 9,733.14 × 4,067.50
  4. Step 4: Simplify right side
    7,052.25x = 39,589,477.95
  5. Step 5: Solve for x
    x = 39,589,477.95/7,052.25
  6. Step 6: Final answer
    x = 5,613.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.