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Finding the Fourth Proportional to 9,494.01, 14,241.05 and 2,920.15

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Solution

The fourth proportional to 9,494.01, 14,241.05 and 2,920.15 is: 4,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.01 : 14,241.05 = 2,920.15 : x
  2. Step 2: Convert to fraction form
    9,494.01/14,241.05 = 2,920.15/x
  3. Step 3: Cross multiply
    9,494.01x = 14,241.05 × 2,920.15
  4. Step 4: Simplify right side
    9,494.01x = 41,586,016.31
  5. Step 5: Solve for x
    x = 41,586,016.31/9,494.01
  6. Step 6: Final answer
    x = 4,380.24

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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.