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Finding the Fourth Proportional to 9,797.94, 13,520.46 and 5,549.43

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Solution

The fourth proportional to 9,797.94, 13,520.46 and 5,549.43 is: 7,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.94 : 13,520.46 = 5,549.43 : x
  2. Step 2: Convert to fraction form
    9,797.94/13,520.46 = 5,549.43/x
  3. Step 3: Cross multiply
    9,797.94x = 13,520.46 × 5,549.43
  4. Step 4: Simplify right side
    9,797.94x = 75,030,846.34
  5. Step 5: Solve for x
    x = 75,030,846.34/9,797.94
  6. Step 6: Final answer
    x = 7,657.82

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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.