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Finding the Fourth Proportional to 9,772.94, 14,660.63 and 3,197.36

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Solution

The fourth proportional to 9,772.94, 14,660.63 and 3,197.36 is: 4,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.94 : 14,660.63 = 3,197.36 : x
  2. Step 2: Convert to fraction form
    9,772.94/14,660.63 = 3,197.36/x
  3. Step 3: Cross multiply
    9,772.94x = 14,660.63 × 3,197.36
  4. Step 4: Simplify right side
    9,772.94x = 46,875,311.94
  5. Step 5: Solve for x
    x = 46,875,311.94/9,772.94
  6. Step 6: Final answer
    x = 4,796.44

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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.