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Finding the Fourth Proportional to 9,352.50, 14,027.21 and 3,111.69

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Solution

The fourth proportional to 9,352.50, 14,027.21 and 3,111.69 is: 4,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.50 : 14,027.21 = 3,111.69 : x
  2. Step 2: Convert to fraction form
    9,352.50/14,027.21 = 3,111.69/x
  3. Step 3: Cross multiply
    9,352.50x = 14,027.21 × 3,111.69
  4. Step 4: Simplify right side
    9,352.50x = 43,648,351.47
  5. Step 5: Solve for x
    x = 43,648,351.47/9,352.50
  6. Step 6: Final answer
    x = 4,667.02

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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.