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Finding the Fourth Proportional to 9,943.80, 13,722.76 and 5,468.02

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Solution

The fourth proportional to 9,943.80, 13,722.76 and 5,468.02 is: 7,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.80 : 13,722.76 = 5,468.02 : x
  2. Step 2: Convert to fraction form
    9,943.80/13,722.76 = 5,468.02/x
  3. Step 3: Cross multiply
    9,943.80x = 13,722.76 × 5,468.02
  4. Step 4: Simplify right side
    9,943.80x = 75,036,326.14
  5. Step 5: Solve for x
    x = 75,036,326.14/9,943.80
  6. Step 6: Final answer
    x = 7,546.04

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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.