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Finding the Fourth Proportional to 9,787.25, 14,682.36 and 3,211.88

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Solution

The fourth proportional to 9,787.25, 14,682.36 and 3,211.88 is: 4,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.25 : 14,682.36 = 3,211.88 : x
  2. Step 2: Convert to fraction form
    9,787.25/14,682.36 = 3,211.88/x
  3. Step 3: Cross multiply
    9,787.25x = 14,682.36 × 3,211.88
  4. Step 4: Simplify right side
    9,787.25x = 47,157,905.03
  5. Step 5: Solve for x
    x = 47,157,905.03/9,787.25
  6. Step 6: Final answer
    x = 4,818.30

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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.