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Finding the Fourth Proportional to 9,732.38, 14,600.39 and 3,156.80

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Solution

The fourth proportional to 9,732.38, 14,600.39 and 3,156.80 is: 4,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.38 : 14,600.39 = 3,156.80 : x
  2. Step 2: Convert to fraction form
    9,732.38/14,600.39 = 3,156.80/x
  3. Step 3: Cross multiply
    9,732.38x = 14,600.39 × 3,156.80
  4. Step 4: Simplify right side
    9,732.38x = 46,090,422.37
  5. Step 5: Solve for x
    x = 46,090,422.37/9,732.38
  6. Step 6: Final answer
    x = 4,735.78

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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.