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Finding the Fourth Proportional to 9,847.67, 14,763.25 and 4,296.80

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Solution

The fourth proportional to 9,847.67, 14,763.25 and 4,296.80 is: 6,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.67 : 14,763.25 = 4,296.80 : x
  2. Step 2: Convert to fraction form
    9,847.67/14,763.25 = 4,296.80/x
  3. Step 3: Cross multiply
    9,847.67x = 14,763.25 × 4,296.80
  4. Step 4: Simplify right side
    9,847.67x = 63,434,669.53
  5. Step 5: Solve for x
    x = 63,434,669.53/9,847.67
  6. Step 6: Final answer
    x = 6,441.59

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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.