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Finding the Fourth Proportional to 9,934.80, 14,902.16 and 2,539.25

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Solution

The fourth proportional to 9,934.80, 14,902.16 and 2,539.25 is: 3,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.80 : 14,902.16 = 2,539.25 : x
  2. Step 2: Convert to fraction form
    9,934.80/14,902.16 = 2,539.25/x
  3. Step 3: Cross multiply
    9,934.80x = 14,902.16 × 2,539.25
  4. Step 4: Simplify right side
    9,934.80x = 37,840,241.62
  5. Step 5: Solve for x
    x = 37,840,241.62/9,934.80
  6. Step 6: Final answer
    x = 3,808.86

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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.