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Finding the Fourth Proportional to 9,267.24, 12,787.62 and 7,383.60

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Solution

The fourth proportional to 9,267.24, 12,787.62 and 7,383.60 is: 10,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.24 : 12,787.62 = 7,383.60 : x
  2. Step 2: Convert to fraction form
    9,267.24/12,787.62 = 7,383.60/x
  3. Step 3: Cross multiply
    9,267.24x = 12,787.62 × 7,383.60
  4. Step 4: Simplify right side
    9,267.24x = 94,418,671.03
  5. Step 5: Solve for x
    x = 94,418,671.03/9,267.24
  6. Step 6: Final answer
    x = 10,188.43

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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.