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Finding the Fourth Proportional to 9,496.85, 14,247.90 and 3,952.80

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Solution

The fourth proportional to 9,496.85, 14,247.90 and 3,952.80 is: 5,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.85 : 14,247.90 = 3,952.80 : x
  2. Step 2: Convert to fraction form
    9,496.85/14,247.90 = 3,952.80/x
  3. Step 3: Cross multiply
    9,496.85x = 14,247.90 × 3,952.80
  4. Step 4: Simplify right side
    9,496.85x = 56,319,099.12
  5. Step 5: Solve for x
    x = 56,319,099.12/9,496.85
  6. Step 6: Final answer
    x = 5,930.30

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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.