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Finding the Fourth Proportional to 9,802.28, 14,700.32 and 3,227

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Solution

The fourth proportional to 9,802.28, 14,700.32 and 3,227 is: 4,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.28 : 14,700.32 = 3,227 : x
  2. Step 2: Convert to fraction form
    9,802.28/14,700.32 = 3,227/x
  3. Step 3: Cross multiply
    9,802.28x = 14,700.32 × 3,227
  4. Step 4: Simplify right side
    9,802.28x = 47,437,932.64
  5. Step 5: Solve for x
    x = 47,437,932.64/9,802.28
  6. Step 6: Final answer
    x = 4,839.48

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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.