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Finding the Fourth Proportional to 9,633.48, 14,440.50 and 3,787.80

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Solution

The fourth proportional to 9,633.48, 14,440.50 and 3,787.80 is: 5,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.48 : 14,440.50 = 3,787.80 : x
  2. Step 2: Convert to fraction form
    9,633.48/14,440.50 = 3,787.80/x
  3. Step 3: Cross multiply
    9,633.48x = 14,440.50 × 3,787.80
  4. Step 4: Simplify right side
    9,633.48x = 54,697,725.90
  5. Step 5: Solve for x
    x = 54,697,725.90/9,633.48
  6. Step 6: Final answer
    x = 5,677.88

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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.