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Finding the Fourth Proportional to 13,793.93, 20,690.91 and 6,397.41

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Solution

The fourth proportional to 13,793.93, 20,690.91 and 6,397.41 is: 9,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.93 : 20,690.91 = 6,397.41 : x
  2. Step 2: Convert to fraction form
    13,793.93/20,690.91 = 6,397.41/x
  3. Step 3: Cross multiply
    13,793.93x = 20,690.91 × 6,397.41
  4. Step 4: Simplify right side
    13,793.93x = 132,368,312.13
  5. Step 5: Solve for x
    x = 132,368,312.13/13,793.93
  6. Step 6: Final answer
    x = 9,596.13

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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.