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Finding the Fourth Proportional to 9,199.41, 13,807.77 and 4,819.94

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Solution

The fourth proportional to 9,199.41, 13,807.77 and 4,819.94 is: 7,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.41 : 13,807.77 = 4,819.94 : x
  2. Step 2: Convert to fraction form
    9,199.41/13,807.77 = 4,819.94/x
  3. Step 3: Cross multiply
    9,199.41x = 13,807.77 × 4,819.94
  4. Step 4: Simplify right side
    9,199.41x = 66,552,622.93
  5. Step 5: Solve for x
    x = 66,552,622.93/9,199.41
  6. Step 6: Final answer
    x = 7,234.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.