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Finding the Fourth Proportional to 9,227.02, 13,834.74 and 3,681.16

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Solution

The fourth proportional to 9,227.02, 13,834.74 and 3,681.16 is: 5,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.02 : 13,834.74 = 3,681.16 : x
  2. Step 2: Convert to fraction form
    9,227.02/13,834.74 = 3,681.16/x
  3. Step 3: Cross multiply
    9,227.02x = 13,834.74 × 3,681.16
  4. Step 4: Simplify right side
    9,227.02x = 50,927,891.50
  5. Step 5: Solve for x
    x = 50,927,891.50/9,227.02
  6. Step 6: Final answer
    x = 5,519.43

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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.