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Finding the Fourth Proportional to 9,857.91, 13,600.42 and 6,323.07

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Solution

The fourth proportional to 9,857.91, 13,600.42 and 6,323.07 is: 8,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.91 : 13,600.42 = 6,323.07 : x
  2. Step 2: Convert to fraction form
    9,857.91/13,600.42 = 6,323.07/x
  3. Step 3: Cross multiply
    9,857.91x = 13,600.42 × 6,323.07
  4. Step 4: Simplify right side
    9,857.91x = 85,996,407.69
  5. Step 5: Solve for x
    x = 85,996,407.69/9,857.91
  6. Step 6: Final answer
    x = 8,723.59

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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.