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Finding the Fourth Proportional to 9,650.17, 14,449.87 and 7,766.04

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Solution

The fourth proportional to 9,650.17, 14,449.87 and 7,766.04 is: 11,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.17 : 14,449.87 = 7,766.04 : x
  2. Step 2: Convert to fraction form
    9,650.17/14,449.87 = 7,766.04/x
  3. Step 3: Cross multiply
    9,650.17x = 14,449.87 × 7,766.04
  4. Step 4: Simplify right side
    9,650.17x = 112,218,332.31
  5. Step 5: Solve for x
    x = 112,218,332.31/9,650.17
  6. Step 6: Final answer
    x = 11,628.64

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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.