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Finding the Fourth Proportional to 9,282.73, 12,815.15 and 7,169.20

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Solution

The fourth proportional to 9,282.73, 12,815.15 and 7,169.20 is: 9,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.73 : 12,815.15 = 7,169.20 : x
  2. Step 2: Convert to fraction form
    9,282.73/12,815.15 = 7,169.20/x
  3. Step 3: Cross multiply
    9,282.73x = 12,815.15 × 7,169.20
  4. Step 4: Simplify right side
    9,282.73x = 91,874,361.70
  5. Step 5: Solve for x
    x = 91,874,361.70/9,282.73
  6. Step 6: Final answer
    x = 9,897.34

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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.