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Finding the Fourth Proportional to 9,206.34, 12,705 and 5,227.20

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Solution

The fourth proportional to 9,206.34, 12,705 and 5,227.20 is: 7,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.34 : 12,705 = 5,227.20 : x
  2. Step 2: Convert to fraction form
    9,206.34/12,705 = 5,227.20/x
  3. Step 3: Cross multiply
    9,206.34x = 12,705 × 5,227.20
  4. Step 4: Simplify right side
    9,206.34x = 66,411,576
  5. Step 5: Solve for x
    x = 66,411,576/9,206.34
  6. Step 6: Final answer
    x = 7,213.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.