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Finding the Fourth Proportional to 9,772.23, 14,649.13 and 3,193.82

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Solution

The fourth proportional to 9,772.23, 14,649.13 and 3,193.82 is: 4,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.23 : 14,649.13 = 3,193.82 : x
  2. Step 2: Convert to fraction form
    9,772.23/14,649.13 = 3,193.82/x
  3. Step 3: Cross multiply
    9,772.23x = 14,649.13 × 3,193.82
  4. Step 4: Simplify right side
    9,772.23x = 46,786,684.38
  5. Step 5: Solve for x
    x = 46,786,684.38/9,772.23
  6. Step 6: Final answer
    x = 4,787.72

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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.