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Finding the Fourth Proportional to 9,814.44, 13,542.92 and 6,037.84

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Solution

The fourth proportional to 9,814.44, 13,542.92 and 6,037.84 is: 8,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.44 : 13,542.92 = 6,037.84 : x
  2. Step 2: Convert to fraction form
    9,814.44/13,542.92 = 6,037.84/x
  3. Step 3: Cross multiply
    9,814.44x = 13,542.92 × 6,037.84
  4. Step 4: Simplify right side
    9,814.44x = 81,769,984.09
  5. Step 5: Solve for x
    x = 81,769,984.09/9,814.44
  6. Step 6: Final answer
    x = 8,331.60

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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.