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Finding the Fourth Proportional to 9,206.64, 13,809.63 and 2,967

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Solution

The fourth proportional to 9,206.64, 13,809.63 and 2,967 is: 4,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.64 : 13,809.63 = 2,967 : x
  2. Step 2: Convert to fraction form
    9,206.64/13,809.63 = 2,967/x
  3. Step 3: Cross multiply
    9,206.64x = 13,809.63 × 2,967
  4. Step 4: Simplify right side
    9,206.64x = 40,973,172.21
  5. Step 5: Solve for x
    x = 40,973,172.21/9,206.64
  6. Step 6: Final answer
    x = 4,450.39

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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.