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Finding the Fourth Proportional to 9,494.89, 14,242.33 and 3,948.26

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Solution

The fourth proportional to 9,494.89, 14,242.33 and 3,948.26 is: 5,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.89 : 14,242.33 = 3,948.26 : x
  2. Step 2: Convert to fraction form
    9,494.89/14,242.33 = 3,948.26/x
  3. Step 3: Cross multiply
    9,494.89x = 14,242.33 × 3,948.26
  4. Step 4: Simplify right side
    9,494.89x = 56,232,435.68
  5. Step 5: Solve for x
    x = 56,232,435.68/9,494.89
  6. Step 6: Final answer
    x = 5,922.39

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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.