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Finding the Fourth Proportional to 9,352.10, 14,028.15 and 8,027.30

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Solution

The fourth proportional to 9,352.10, 14,028.15 and 8,027.30 is: 12,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.10 : 14,028.15 = 8,027.30 : x
  2. Step 2: Convert to fraction form
    9,352.10/14,028.15 = 8,027.30/x
  3. Step 3: Cross multiply
    9,352.10x = 14,028.15 × 8,027.30
  4. Step 4: Simplify right side
    9,352.10x = 112,608,168.50
  5. Step 5: Solve for x
    x = 112,608,168.50/9,352.10
  6. Step 6: Final answer
    x = 12,040.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.