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Finding the Fourth Proportional to 9,166.30, 13,751.70 and 4,234.90

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Solution

The fourth proportional to 9,166.30, 13,751.70 and 4,234.90 is: 6,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.30 : 13,751.70 = 4,234.90 : x
  2. Step 2: Convert to fraction form
    9,166.30/13,751.70 = 4,234.90/x
  3. Step 3: Cross multiply
    9,166.30x = 13,751.70 × 4,234.90
  4. Step 4: Simplify right side
    9,166.30x = 58,237,074.33
  5. Step 5: Solve for x
    x = 58,237,074.33/9,166.30
  6. Step 6: Final answer
    x = 6,353.39

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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.