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Finding the Fourth Proportional to 9,367.80, 14,051.70 and 8,237.85

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Solution

The fourth proportional to 9,367.80, 14,051.70 and 8,237.85 is: 12,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.80 : 14,051.70 = 8,237.85 : x
  2. Step 2: Convert to fraction form
    9,367.80/14,051.70 = 8,237.85/x
  3. Step 3: Cross multiply
    9,367.80x = 14,051.70 × 8,237.85
  4. Step 4: Simplify right side
    9,367.80x = 115,755,796.85
  5. Step 5: Solve for x
    x = 115,755,796.85/9,367.80
  6. Step 6: Final answer
    x = 12,356.78

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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.