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Finding the Fourth Proportional to 9,647.67, 14,472 and 2,722.71

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Solution

The fourth proportional to 9,647.67, 14,472 and 2,722.71 is: 4,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.67 : 14,472 = 2,722.71 : x
  2. Step 2: Convert to fraction form
    9,647.67/14,472 = 2,722.71/x
  3. Step 3: Cross multiply
    9,647.67x = 14,472 × 2,722.71
  4. Step 4: Simplify right side
    9,647.67x = 39,403,059.12
  5. Step 5: Solve for x
    x = 39,403,059.12/9,647.67
  6. Step 6: Final answer
    x = 4,084.20

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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.