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Finding the Fourth Proportional to 9,240.21, 13,863.38 and 3,000.42

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Solution

The fourth proportional to 9,240.21, 13,863.38 and 3,000.42 is: 4,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.21 : 13,863.38 = 3,000.42 : x
  2. Step 2: Convert to fraction form
    9,240.21/13,863.38 = 3,000.42/x
  3. Step 3: Cross multiply
    9,240.21x = 13,863.38 × 3,000.42
  4. Step 4: Simplify right side
    9,240.21x = 41,595,947.62
  5. Step 5: Solve for x
    x = 41,595,947.62/9,240.21
  6. Step 6: Final answer
    x = 4,501.62

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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.