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Finding the Fourth Proportional to 8,770.34, 13,157.23 and 3,223.73

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Solution

The fourth proportional to 8,770.34, 13,157.23 and 3,223.73 is: 4,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.34 : 13,157.23 = 3,223.73 : x
  2. Step 2: Convert to fraction form
    8,770.34/13,157.23 = 3,223.73/x
  3. Step 3: Cross multiply
    8,770.34x = 13,157.23 × 3,223.73
  4. Step 4: Simplify right side
    8,770.34x = 42,415,357.07
  5. Step 5: Solve for x
    x = 42,415,357.07/8,770.34
  6. Step 6: Final answer
    x = 4,836.23

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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.