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Finding the Fourth Proportional to 9,840.38, 14,760.57 and 4,649.90

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Solution

The fourth proportional to 9,840.38, 14,760.57 and 4,649.90 is: 6,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.38 : 14,760.57 = 4,649.90 : x
  2. Step 2: Convert to fraction form
    9,840.38/14,760.57 = 4,649.90/x
  3. Step 3: Cross multiply
    9,840.38x = 14,760.57 × 4,649.90
  4. Step 4: Simplify right side
    9,840.38x = 68,635,174.44
  5. Step 5: Solve for x
    x = 68,635,174.44/9,840.38
  6. Step 6: Final answer
    x = 6,974.85

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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.