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Finding the Fourth Proportional to 9,942.62, 14,894.40 and 5,773.88

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Solution

The fourth proportional to 9,942.62, 14,894.40 and 5,773.88 is: 8,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.62 : 14,894.40 = 5,773.88 : x
  2. Step 2: Convert to fraction form
    9,942.62/14,894.40 = 5,773.88/x
  3. Step 3: Cross multiply
    9,942.62x = 14,894.40 × 5,773.88
  4. Step 4: Simplify right side
    9,942.62x = 85,998,478.27
  5. Step 5: Solve for x
    x = 85,998,478.27/9,942.62
  6. Step 6: Final answer
    x = 8,649.48

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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.