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Finding the Fourth Proportional to 9,871.28, 13,620.12 and 5,893.68

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Solution

The fourth proportional to 9,871.28, 13,620.12 and 5,893.68 is: 8,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.28 : 13,620.12 = 5,893.68 : x
  2. Step 2: Convert to fraction form
    9,871.28/13,620.12 = 5,893.68/x
  3. Step 3: Cross multiply
    9,871.28x = 13,620.12 × 5,893.68
  4. Step 4: Simplify right side
    9,871.28x = 80,272,628.84
  5. Step 5: Solve for x
    x = 80,272,628.84/9,871.28
  6. Step 6: Final answer
    x = 8,131.94

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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.