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Finding the Fourth Proportional to 7,053.24, 9,733.44 and 3,866.52

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Solution

The fourth proportional to 7,053.24, 9,733.44 and 3,866.52 is: 5,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.24 : 9,733.44 = 3,866.52 : x
  2. Step 2: Convert to fraction form
    7,053.24/9,733.44 = 3,866.52/x
  3. Step 3: Cross multiply
    7,053.24x = 9,733.44 × 3,866.52
  4. Step 4: Simplify right side
    7,053.24x = 37,634,540.43
  5. Step 5: Solve for x
    x = 37,634,540.43/7,053.24
  6. Step 6: Final answer
    x = 5,335.78

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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.