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Finding the Fourth Proportional to 9,438.94, 14,158.32 and 2,513.44

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Solution

The fourth proportional to 9,438.94, 14,158.32 and 2,513.44 is: 3,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.94 : 14,158.32 = 2,513.44 : x
  2. Step 2: Convert to fraction form
    9,438.94/14,158.32 = 2,513.44/x
  3. Step 3: Cross multiply
    9,438.94x = 14,158.32 × 2,513.44
  4. Step 4: Simplify right side
    9,438.94x = 35,586,087.82
  5. Step 5: Solve for x
    x = 35,586,087.82/9,438.94
  6. Step 6: Final answer
    x = 3,770.14

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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.