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Finding the Fourth Proportional to 9,352.75, 14,035.20 and 4,735.75

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Solution

The fourth proportional to 9,352.75, 14,035.20 and 4,735.75 is: 7,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.75 : 14,035.20 = 4,735.75 : x
  2. Step 2: Convert to fraction form
    9,352.75/14,035.20 = 4,735.75/x
  3. Step 3: Cross multiply
    9,352.75x = 14,035.20 × 4,735.75
  4. Step 4: Simplify right side
    9,352.75x = 66,467,198.40
  5. Step 5: Solve for x
    x = 66,467,198.40/9,352.75
  6. Step 6: Final answer
    x = 7,106.70

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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.