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Finding the Fourth Proportional to 9,857.92, 13,603.41 and 5,380.80

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Solution

The fourth proportional to 9,857.92, 13,603.41 and 5,380.80 is: 7,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.92 : 13,603.41 = 5,380.80 : x
  2. Step 2: Convert to fraction form
    9,857.92/13,603.41 = 5,380.80/x
  3. Step 3: Cross multiply
    9,857.92x = 13,603.41 × 5,380.80
  4. Step 4: Simplify right side
    9,857.92x = 73,197,273.61
  5. Step 5: Solve for x
    x = 73,197,273.61/9,857.92
  6. Step 6: Final answer
    x = 7,425.23

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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.