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Finding the Fourth Proportional to 9,647.43, 14,472 and 3,802.65

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Solution

The fourth proportional to 9,647.43, 14,472 and 3,802.65 is: 5,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.43 : 14,472 = 3,802.65 : x
  2. Step 2: Convert to fraction form
    9,647.43/14,472 = 3,802.65/x
  3. Step 3: Cross multiply
    9,647.43x = 14,472 × 3,802.65
  4. Step 4: Simplify right side
    9,647.43x = 55,031,950.80
  5. Step 5: Solve for x
    x = 55,031,950.80/9,647.43
  6. Step 6: Final answer
    x = 5,704.31

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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.