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Finding the Fourth Proportional to 9,142.92, 13,716.44 and 2,903.14

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Solution

The fourth proportional to 9,142.92, 13,716.44 and 2,903.14 is: 4,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.92 : 13,716.44 = 2,903.14 : x
  2. Step 2: Convert to fraction form
    9,142.92/13,716.44 = 2,903.14/x
  3. Step 3: Cross multiply
    9,142.92x = 13,716.44 × 2,903.14
  4. Step 4: Simplify right side
    9,142.92x = 39,820,759.14
  5. Step 5: Solve for x
    x = 39,820,759.14/9,142.92
  6. Step 6: Final answer
    x = 4,355.37

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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.