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Finding the Fourth Proportional to 8,949.67, 13,421.75 and 4,267.21

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Solution

The fourth proportional to 8,949.67, 13,421.75 and 4,267.21 is: 6,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.67 : 13,421.75 = 4,267.21 : x
  2. Step 2: Convert to fraction form
    8,949.67/13,421.75 = 4,267.21/x
  3. Step 3: Cross multiply
    8,949.67x = 13,421.75 × 4,267.21
  4. Step 4: Simplify right side
    8,949.67x = 57,273,358.71
  5. Step 5: Solve for x
    x = 57,273,358.71/8,949.67
  6. Step 6: Final answer
    x = 6,399.50

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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.