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Finding the Fourth Proportional to 9,772.29, 14,656.90 and 3,198.33

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Solution

The fourth proportional to 9,772.29, 14,656.90 and 3,198.33 is: 4,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.29 : 14,656.90 = 3,198.33 : x
  2. Step 2: Convert to fraction form
    9,772.29/14,656.90 = 3,198.33/x
  3. Step 3: Cross multiply
    9,772.29x = 14,656.90 × 3,198.33
  4. Step 4: Simplify right side
    9,772.29x = 46,877,521.70
  5. Step 5: Solve for x
    x = 46,877,521.70/9,772.29
  6. Step 6: Final answer
    x = 4,796.99

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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.