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Finding the Fourth Proportional to 9,787.60, 14,675.88 and 3,213.24

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Solution

The fourth proportional to 9,787.60, 14,675.88 and 3,213.24 is: 4,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.60 : 14,675.88 = 3,213.24 : x
  2. Step 2: Convert to fraction form
    9,787.60/14,675.88 = 3,213.24/x
  3. Step 3: Cross multiply
    9,787.60x = 14,675.88 × 3,213.24
  4. Step 4: Simplify right side
    9,787.60x = 47,157,081.67
  5. Step 5: Solve for x
    x = 47,157,081.67/9,787.60
  6. Step 6: Final answer
    x = 4,818.04

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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.