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Finding the Fourth Proportional to 9,596.43, 14,402.85 and 3,757.14

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Solution

The fourth proportional to 9,596.43, 14,402.85 and 3,757.14 is: 5,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.43 : 14,402.85 = 3,757.14 : x
  2. Step 2: Convert to fraction form
    9,596.43/14,402.85 = 3,757.14/x
  3. Step 3: Cross multiply
    9,596.43x = 14,402.85 × 3,757.14
  4. Step 4: Simplify right side
    9,596.43x = 54,113,523.85
  5. Step 5: Solve for x
    x = 54,113,523.85/9,596.43
  6. Step 6: Final answer
    x = 5,638.92

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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.