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Finding the Fourth Proportional to 9,007.46, 13,513 and 3,163.30

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Solution

The fourth proportional to 9,007.46, 13,513 and 3,163.30 is: 4,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.46 : 13,513 = 3,163.30 : x
  2. Step 2: Convert to fraction form
    9,007.46/13,513 = 3,163.30/x
  3. Step 3: Cross multiply
    9,007.46x = 13,513 × 3,163.30
  4. Step 4: Simplify right side
    9,007.46x = 42,745,672.90
  5. Step 5: Solve for x
    x = 42,745,672.90/9,007.46
  6. Step 6: Final answer
    x = 4,745.59

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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.