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Finding the Fourth Proportional to 9,442.72, 14,151.94 and 3,899.96

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Solution

The fourth proportional to 9,442.72, 14,151.94 and 3,899.96 is: 5,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.72 : 14,151.94 = 3,899.96 : x
  2. Step 2: Convert to fraction form
    9,442.72/14,151.94 = 3,899.96/x
  3. Step 3: Cross multiply
    9,442.72x = 14,151.94 × 3,899.96
  4. Step 4: Simplify right side
    9,442.72x = 55,191,919.41
  5. Step 5: Solve for x
    x = 55,191,919.41/9,442.72
  6. Step 6: Final answer
    x = 5,844.92

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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.