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Finding the Fourth Proportional to 9,941.50, 13,718.77 and 5,961.84

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Solution

The fourth proportional to 9,941.50, 13,718.77 and 5,961.84 is: 8,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.50 : 13,718.77 = 5,961.84 : x
  2. Step 2: Convert to fraction form
    9,941.50/13,718.77 = 5,961.84/x
  3. Step 3: Cross multiply
    9,941.50x = 13,718.77 × 5,961.84
  4. Step 4: Simplify right side
    9,941.50x = 81,789,111.74
  5. Step 5: Solve for x
    x = 81,789,111.74/9,941.50
  6. Step 6: Final answer
    x = 8,227.04

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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.