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Finding the Fourth Proportional to 9,892.21, 13,650.69 and 5,415.09

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Solution

The fourth proportional to 9,892.21, 13,650.69 and 5,415.09 is: 7,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.21 : 13,650.69 = 5,415.09 : x
  2. Step 2: Convert to fraction form
    9,892.21/13,650.69 = 5,415.09/x
  3. Step 3: Cross multiply
    9,892.21x = 13,650.69 × 5,415.09
  4. Step 4: Simplify right side
    9,892.21x = 73,919,714.91
  5. Step 5: Solve for x
    x = 73,919,714.91/9,892.21
  6. Step 6: Final answer
    x = 7,472.52

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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.