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Finding the Fourth Proportional to 9,791.21, 14,682.44 and 3,126.48

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Solution

The fourth proportional to 9,791.21, 14,682.44 and 3,126.48 is: 4,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.21 : 14,682.44 = 3,126.48 : x
  2. Step 2: Convert to fraction form
    9,791.21/14,682.44 = 3,126.48/x
  3. Step 3: Cross multiply
    9,791.21x = 14,682.44 × 3,126.48
  4. Step 4: Simplify right side
    9,791.21x = 45,904,339.38
  5. Step 5: Solve for x
    x = 45,904,339.38/9,791.21
  6. Step 6: Final answer
    x = 4,688.32

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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.