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Finding the Fourth Proportional to 9,520.34, 14,287.19 and 6,406.29

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Solution

The fourth proportional to 9,520.34, 14,287.19 and 6,406.29 is: 9,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.34 : 14,287.19 = 6,406.29 : x
  2. Step 2: Convert to fraction form
    9,520.34/14,287.19 = 6,406.29/x
  3. Step 3: Cross multiply
    9,520.34x = 14,287.19 × 6,406.29
  4. Step 4: Simplify right side
    9,520.34x = 91,527,850.39
  5. Step 5: Solve for x
    x = 91,527,850.39/9,520.34
  6. Step 6: Final answer
    x = 9,613.93

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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.