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Finding the Fourth Proportional to 9,517.93, 14,212.10 and 8,398

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Solution

The fourth proportional to 9,517.93, 14,212.10 and 8,398 is: 12,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.93 : 14,212.10 = 8,398 : x
  2. Step 2: Convert to fraction form
    9,517.93/14,212.10 = 8,398/x
  3. Step 3: Cross multiply
    9,517.93x = 14,212.10 × 8,398
  4. Step 4: Simplify right side
    9,517.93x = 119,353,215.80
  5. Step 5: Solve for x
    x = 119,353,215.80/9,517.93
  6. Step 6: Final answer
    x = 12,539.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.