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Finding the Fourth Proportional to 9,814.44, 14,723.88 and 3,241.32

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Solution

The fourth proportional to 9,814.44, 14,723.88 and 3,241.32 is: 4,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.44 : 14,723.88 = 3,241.32 : x
  2. Step 2: Convert to fraction form
    9,814.44/14,723.88 = 3,241.32/x
  3. Step 3: Cross multiply
    9,814.44x = 14,723.88 × 3,241.32
  4. Step 4: Simplify right side
    9,814.44x = 47,724,806.72
  5. Step 5: Solve for x
    x = 47,724,806.72/9,814.44
  6. Step 6: Final answer
    x = 4,862.71

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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.