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Finding the Fourth Proportional to 9,077.34, 13,609.30 and 3,813.91

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Solution

The fourth proportional to 9,077.34, 13,609.30 and 3,813.91 is: 5,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.34 : 13,609.30 = 3,813.91 : x
  2. Step 2: Convert to fraction form
    9,077.34/13,609.30 = 3,813.91/x
  3. Step 3: Cross multiply
    9,077.34x = 13,609.30 × 3,813.91
  4. Step 4: Simplify right side
    9,077.34x = 51,904,608.96
  5. Step 5: Solve for x
    x = 51,904,608.96/9,077.34
  6. Step 6: Final answer
    x = 5,718.04

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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.