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Finding the Fourth Proportional to 9,757.20, 14,622.30 and 7,786.20

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Solution

The fourth proportional to 9,757.20, 14,622.30 and 7,786.20 is: 11,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.20 : 14,622.30 = 7,786.20 : x
  2. Step 2: Convert to fraction form
    9,757.20/14,622.30 = 7,786.20/x
  3. Step 3: Cross multiply
    9,757.20x = 14,622.30 × 7,786.20
  4. Step 4: Simplify right side
    9,757.20x = 113,852,152.26
  5. Step 5: Solve for x
    x = 113,852,152.26/9,757.20
  6. Step 6: Final answer
    x = 11,668.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.