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Finding the Fourth Proportional to 8,967.12, 13,450.80 and 3,123.78

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Solution

The fourth proportional to 8,967.12, 13,450.80 and 3,123.78 is: 4,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.12 : 13,450.80 = 3,123.78 : x
  2. Step 2: Convert to fraction form
    8,967.12/13,450.80 = 3,123.78/x
  3. Step 3: Cross multiply
    8,967.12x = 13,450.80 × 3,123.78
  4. Step 4: Simplify right side
    8,967.12x = 42,017,340.02
  5. Step 5: Solve for x
    x = 42,017,340.02/8,967.12
  6. Step 6: Final answer
    x = 4,685.71

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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.