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Finding the Fourth Proportional to 9,857.97, 13,603.39 and 5,380.81

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Solution

The fourth proportional to 9,857.97, 13,603.39 and 5,380.81 is: 7,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.97 : 13,603.39 = 5,380.81 : x
  2. Step 2: Convert to fraction form
    9,857.97/13,603.39 = 5,380.81/x
  3. Step 3: Cross multiply
    9,857.97x = 13,603.39 × 5,380.81
  4. Step 4: Simplify right side
    9,857.97x = 73,197,209.49
  5. Step 5: Solve for x
    x = 73,197,209.49/9,857.97
  6. Step 6: Final answer
    x = 7,425.18

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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.