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Finding the Fourth Proportional to 9,492.87, 14,239.99 and 2,738.18

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Solution

The fourth proportional to 9,492.87, 14,239.99 and 2,738.18 is: 4,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.87 : 14,239.99 = 2,738.18 : x
  2. Step 2: Convert to fraction form
    9,492.87/14,239.99 = 2,738.18/x
  3. Step 3: Cross multiply
    9,492.87x = 14,239.99 × 2,738.18
  4. Step 4: Simplify right side
    9,492.87x = 38,991,584.62
  5. Step 5: Solve for x
    x = 38,991,584.62/9,492.87
  6. Step 6: Final answer
    x = 4,107.46

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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.