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Finding the Fourth Proportional to 8,914.50, 13,362.90 and 4,226.22

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Solution

The fourth proportional to 8,914.50, 13,362.90 and 4,226.22 is: 6,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.50 : 13,362.90 = 4,226.22 : x
  2. Step 2: Convert to fraction form
    8,914.50/13,362.90 = 4,226.22/x
  3. Step 3: Cross multiply
    8,914.50x = 13,362.90 × 4,226.22
  4. Step 4: Simplify right side
    8,914.50x = 56,474,555.24
  5. Step 5: Solve for x
    x = 56,474,555.24/8,914.50
  6. Step 6: Final answer
    x = 6,335.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.