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Finding the Fourth Proportional to 9,238.86, 13,859.55 and 2,996.82

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Solution

The fourth proportional to 9,238.86, 13,859.55 and 2,996.82 is: 4,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.86 : 13,859.55 = 2,996.82 : x
  2. Step 2: Convert to fraction form
    9,238.86/13,859.55 = 2,996.82/x
  3. Step 3: Cross multiply
    9,238.86x = 13,859.55 × 2,996.82
  4. Step 4: Simplify right side
    9,238.86x = 41,534,576.63
  5. Step 5: Solve for x
    x = 41,534,576.63/9,238.86
  6. Step 6: Final answer
    x = 4,495.64

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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.