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Finding the Fourth Proportional to 9,732.04, 14,600.22 and 2,806

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Solution

The fourth proportional to 9,732.04, 14,600.22 and 2,806 is: 4,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.04 : 14,600.22 = 2,806 : x
  2. Step 2: Convert to fraction form
    9,732.04/14,600.22 = 2,806/x
  3. Step 3: Cross multiply
    9,732.04x = 14,600.22 × 2,806
  4. Step 4: Simplify right side
    9,732.04x = 40,968,217.32
  5. Step 5: Solve for x
    x = 40,968,217.32/9,732.04
  6. Step 6: Final answer
    x = 4,209.62

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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.