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Finding the Fourth Proportional to 9,102.84, 13,656.72 and 3,261.12

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Solution

The fourth proportional to 9,102.84, 13,656.72 and 3,261.12 is: 4,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.84 : 13,656.72 = 3,261.12 : x
  2. Step 2: Convert to fraction form
    9,102.84/13,656.72 = 3,261.12/x
  3. Step 3: Cross multiply
    9,102.84x = 13,656.72 × 3,261.12
  4. Step 4: Simplify right side
    9,102.84x = 44,536,202.73
  5. Step 5: Solve for x
    x = 44,536,202.73/9,102.84
  6. Step 6: Final answer
    x = 4,892.56

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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.