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Finding the Fourth Proportional to 9,767.21, 14,649.74 and 2,747.44

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Solution

The fourth proportional to 9,767.21, 14,649.74 and 2,747.44 is: 4,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.21 : 14,649.74 = 2,747.44 : x
  2. Step 2: Convert to fraction form
    9,767.21/14,649.74 = 2,747.44/x
  3. Step 3: Cross multiply
    9,767.21x = 14,649.74 × 2,747.44
  4. Step 4: Simplify right side
    9,767.21x = 40,249,330.02
  5. Step 5: Solve for x
    x = 40,249,330.02/9,767.21
  6. Step 6: Final answer
    x = 4,120.86

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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.