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Finding the Fourth Proportional to 9,813.94, 13,538.89 and 6,540.44

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Solution

The fourth proportional to 9,813.94, 13,538.89 and 6,540.44 is: 9,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.94 : 13,538.89 = 6,540.44 : x
  2. Step 2: Convert to fraction form
    9,813.94/13,538.89 = 6,540.44/x
  3. Step 3: Cross multiply
    9,813.94x = 13,538.89 × 6,540.44
  4. Step 4: Simplify right side
    9,813.94x = 88,550,297.71
  5. Step 5: Solve for x
    x = 88,550,297.71/9,813.94
  6. Step 6: Final answer
    x = 9,022.91

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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.