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Finding the Fourth Proportional to 9,668.94, 13,334.13 and 6,125.82

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Solution

The fourth proportional to 9,668.94, 13,334.13 and 6,125.82 is: 8,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.94 : 13,334.13 = 6,125.82 : x
  2. Step 2: Convert to fraction form
    9,668.94/13,334.13 = 6,125.82/x
  3. Step 3: Cross multiply
    9,668.94x = 13,334.13 × 6,125.82
  4. Step 4: Simplify right side
    9,668.94x = 81,682,480.24
  5. Step 5: Solve for x
    x = 81,682,480.24/9,668.94
  6. Step 6: Final answer
    x = 8,447.93

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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.