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Finding the Fourth Proportional to 9,202.71, 13,783.30 and 4,261.97

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Solution

The fourth proportional to 9,202.71, 13,783.30 and 4,261.97 is: 6,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.71 : 13,783.30 = 4,261.97 : x
  2. Step 2: Convert to fraction form
    9,202.71/13,783.30 = 4,261.97/x
  3. Step 3: Cross multiply
    9,202.71x = 13,783.30 × 4,261.97
  4. Step 4: Simplify right side
    9,202.71x = 58,744,034.90
  5. Step 5: Solve for x
    x = 58,744,034.90/9,202.71
  6. Step 6: Final answer
    x = 6,383.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.