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Finding the Fourth Proportional to 9,649.63, 14,476.27 and 3,322.82

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Solution

The fourth proportional to 9,649.63, 14,476.27 and 3,322.82 is: 4,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.63 : 14,476.27 = 3,322.82 : x
  2. Step 2: Convert to fraction form
    9,649.63/14,476.27 = 3,322.82/x
  3. Step 3: Cross multiply
    9,649.63x = 14,476.27 × 3,322.82
  4. Step 4: Simplify right side
    9,649.63x = 48,102,067.37
  5. Step 5: Solve for x
    x = 48,102,067.37/9,649.63
  6. Step 6: Final answer
    x = 4,984.86

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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.