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Finding the Fourth Proportional to 9,494.96, 14,243.57 and 3,952.05

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Solution

The fourth proportional to 9,494.96, 14,243.57 and 3,952.05 is: 5,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.96 : 14,243.57 = 3,952.05 : x
  2. Step 2: Convert to fraction form
    9,494.96/14,243.57 = 3,952.05/x
  3. Step 3: Cross multiply
    9,494.96x = 14,243.57 × 3,952.05
  4. Step 4: Simplify right side
    9,494.96x = 56,291,242.47
  5. Step 5: Solve for x
    x = 56,291,242.47/9,494.96
  6. Step 6: Final answer
    x = 5,928.54

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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.