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Finding the Fourth Proportional to 9,847.23, 14,763.17 and 4,914.39

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Solution

The fourth proportional to 9,847.23, 14,763.17 and 4,914.39 is: 7,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.23 : 14,763.17 = 4,914.39 : x
  2. Step 2: Convert to fraction form
    9,847.23/14,763.17 = 4,914.39/x
  3. Step 3: Cross multiply
    9,847.23x = 14,763.17 × 4,914.39
  4. Step 4: Simplify right side
    9,847.23x = 72,551,950.44
  5. Step 5: Solve for x
    x = 72,551,950.44/9,847.23
  6. Step 6: Final answer
    x = 7,367.75

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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.