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Finding the Fourth Proportional to 9,782.60, 14,672.37 and 2,763.14

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Solution

The fourth proportional to 9,782.60, 14,672.37 and 2,763.14 is: 4,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.60 : 14,672.37 = 2,763.14 : x
  2. Step 2: Convert to fraction form
    9,782.60/14,672.37 = 2,763.14/x
  3. Step 3: Cross multiply
    9,782.60x = 14,672.37 × 2,763.14
  4. Step 4: Simplify right side
    9,782.60x = 40,541,812.44
  5. Step 5: Solve for x
    x = 40,541,812.44/9,782.60
  6. Step 6: Final answer
    x = 4,144.28

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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.