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Finding the Fourth Proportional to 9,671.97, 13,348.42 and 5,424.17

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Solution

The fourth proportional to 9,671.97, 13,348.42 and 5,424.17 is: 7,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.97 : 13,348.42 = 5,424.17 : x
  2. Step 2: Convert to fraction form
    9,671.97/13,348.42 = 5,424.17/x
  3. Step 3: Cross multiply
    9,671.97x = 13,348.42 × 5,424.17
  4. Step 4: Simplify right side
    9,671.97x = 72,404,099.31
  5. Step 5: Solve for x
    x = 72,404,099.31/9,671.97
  6. Step 6: Final answer
    x = 7,485.97

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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.