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Finding the Fourth Proportional to 9,806.34, 13,523.43 and 6,451.99

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Solution

The fourth proportional to 9,806.34, 13,523.43 and 6,451.99 is: 8,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.34 : 13,523.43 = 6,451.99 : x
  2. Step 2: Convert to fraction form
    9,806.34/13,523.43 = 6,451.99/x
  3. Step 3: Cross multiply
    9,806.34x = 13,523.43 × 6,451.99
  4. Step 4: Simplify right side
    9,806.34x = 87,253,035.13
  5. Step 5: Solve for x
    x = 87,253,035.13/9,806.34
  6. Step 6: Final answer
    x = 8,897.61

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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.