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Finding the Fourth Proportional to 9,205.43, 13,806.06 and 2,964.24

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Solution

The fourth proportional to 9,205.43, 13,806.06 and 2,964.24 is: 4,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.43 : 13,806.06 = 2,964.24 : x
  2. Step 2: Convert to fraction form
    9,205.43/13,806.06 = 2,964.24/x
  3. Step 3: Cross multiply
    9,205.43x = 13,806.06 × 2,964.24
  4. Step 4: Simplify right side
    9,205.43x = 40,924,475.29
  5. Step 5: Solve for x
    x = 40,924,475.29/9,205.43
  6. Step 6: Final answer
    x = 4,445.69

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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.