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Finding the Fourth Proportional to 9,850.92, 14,778.84 and 2,925.42

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Solution

The fourth proportional to 9,850.92, 14,778.84 and 2,925.42 is: 4,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.92 : 14,778.84 = 2,925.42 : x
  2. Step 2: Convert to fraction form
    9,850.92/14,778.84 = 2,925.42/x
  3. Step 3: Cross multiply
    9,850.92x = 14,778.84 × 2,925.42
  4. Step 4: Simplify right side
    9,850.92x = 43,234,314.11
  5. Step 5: Solve for x
    x = 43,234,314.11/9,850.92
  6. Step 6: Final answer
    x = 4,388.86

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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.