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Finding the Fourth Proportional to 9,421.75, 12,999.84 and 5,644.21

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Solution

The fourth proportional to 9,421.75, 12,999.84 and 5,644.21 is: 7,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.75 : 12,999.84 = 5,644.21 : x
  2. Step 2: Convert to fraction form
    9,421.75/12,999.84 = 5,644.21/x
  3. Step 3: Cross multiply
    9,421.75x = 12,999.84 × 5,644.21
  4. Step 4: Simplify right side
    9,421.75x = 73,373,826.93
  5. Step 5: Solve for x
    x = 73,373,826.93/9,421.75
  6. Step 6: Final answer
    x = 7,787.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.