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Finding the Fourth Proportional to 9,984.47, 13,769.60 and 8,311.41

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Solution

The fourth proportional to 9,984.47, 13,769.60 and 8,311.41 is: 11,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.47 : 13,769.60 = 8,311.41 : x
  2. Step 2: Convert to fraction form
    9,984.47/13,769.60 = 8,311.41/x
  3. Step 3: Cross multiply
    9,984.47x = 13,769.60 × 8,311.41
  4. Step 4: Simplify right side
    9,984.47x = 114,444,749.58
  5. Step 5: Solve for x
    x = 114,444,749.58/9,984.47
  6. Step 6: Final answer
    x = 11,462.28

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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.