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Finding the Fourth Proportional to 9,500.34, 14,251.10 and 3,656.96

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Solution

The fourth proportional to 9,500.34, 14,251.10 and 3,656.96 is: 5,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.34 : 14,251.10 = 3,656.96 : x
  2. Step 2: Convert to fraction form
    9,500.34/14,251.10 = 3,656.96/x
  3. Step 3: Cross multiply
    9,500.34x = 14,251.10 × 3,656.96
  4. Step 4: Simplify right side
    9,500.34x = 52,115,613.12
  5. Step 5: Solve for x
    x = 52,115,613.12/9,500.34
  6. Step 6: Final answer
    x = 5,485.66

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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.