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Finding the Fourth Proportional to 9,943.80, 13,723.55 and 5,965.89

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Solution

The fourth proportional to 9,943.80, 13,723.55 and 5,965.89 is: 8,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.80 : 13,723.55 = 5,965.89 : x
  2. Step 2: Convert to fraction form
    9,943.80/13,723.55 = 5,965.89/x
  3. Step 3: Cross multiply
    9,943.80x = 13,723.55 × 5,965.89
  4. Step 4: Simplify right side
    9,943.80x = 81,873,159.88
  5. Step 5: Solve for x
    x = 81,873,159.88/9,943.80
  6. Step 6: Final answer
    x = 8,233.59

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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.