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Finding the Fourth Proportional to 9,209.03, 13,814.96 and 3,662.96

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Solution

The fourth proportional to 9,209.03, 13,814.96 and 3,662.96 is: 5,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.03 : 13,814.96 = 3,662.96 : x
  2. Step 2: Convert to fraction form
    9,209.03/13,814.96 = 3,662.96/x
  3. Step 3: Cross multiply
    9,209.03x = 13,814.96 × 3,662.96
  4. Step 4: Simplify right side
    9,209.03x = 50,603,558.49
  5. Step 5: Solve for x
    x = 50,603,558.49/9,209.03
  6. Step 6: Final answer
    x = 5,495.00

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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.