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Finding the Fourth Proportional to 9,850.92, 14,778.80 and 4,007.04

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Solution

The fourth proportional to 9,850.92, 14,778.80 and 4,007.04 is: 6,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.92 : 14,778.80 = 4,007.04 : x
  2. Step 2: Convert to fraction form
    9,850.92/14,778.80 = 4,007.04/x
  3. Step 3: Cross multiply
    9,850.92x = 14,778.80 × 4,007.04
  4. Step 4: Simplify right side
    9,850.92x = 59,219,242.75
  5. Step 5: Solve for x
    x = 59,219,242.75/9,850.92
  6. Step 6: Final answer
    x = 6,011.54

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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.